---
OA_place: repository
OA_type: green
_id: '21933'
abstract:
- lang: eng
text: We consider the liquid drop model with a positive background density in the
thermodynamic limit. We prove a two-term asymptotics for the ground state energy
per unit volume in the dilute limit. Our proof justifies the expectation that
optimal configurations consist of droplets of unit size that arrange themselves
according to minimizers for the Jellium problem for point particles. In particular,
we provide the first rigorous derivation of what is known as the gnocchi phase
in astrophysics.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rupert L.
full_name: Frank, Rupert L.
last_name: Frank
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank RL, Lewin M, Seiringer R. Liquid drop model for nuclear matter in the
low density limit. Communications on Pure and Applied Mathematics. 2026.
doi:10.1002/cpa.70039
apa: Frank, R. L., Lewin, M., & Seiringer, R. (2026). Liquid drop model for
nuclear matter in the low density limit. Communications on Pure and Applied
Mathematics. Wiley. https://doi.org/10.1002/cpa.70039
chicago: Frank, Rupert L., Mathieu Lewin, and Robert Seiringer. “Liquid Drop Model
for Nuclear Matter in the Low Density Limit.” Communications on Pure and Applied
Mathematics. Wiley, 2026. https://doi.org/10.1002/cpa.70039.
ieee: R. L. Frank, M. Lewin, and R. Seiringer, “Liquid drop model for nuclear matter
in the low density limit,” Communications on Pure and Applied Mathematics.
Wiley, 2026.
ista: Frank RL, Lewin M, Seiringer R. 2026. Liquid drop model for nuclear matter
in the low density limit. Communications on Pure and Applied Mathematics.
mla: Frank, Rupert L., et al. “Liquid Drop Model for Nuclear Matter in the Low Density
Limit.” Communications on Pure and Applied Mathematics, Wiley, 2026, doi:10.1002/cpa.70039.
short: R.L. Frank, M. Lewin, R. Seiringer, Communications on Pure and Applied Mathematics
(2026).
date_created: 2026-05-31T22:02:13Z
date_published: 2026-01-01T00:00:00Z
date_updated: 2026-06-02T06:58:54Z
day: '01'
department:
- _id: RoSe
doi: 10.1002/cpa.70039
external_id:
arxiv:
- '2507.14012'
fulldoi: https://doi.org/10.1002/cpa.70039
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2507.14012
month: '01'
oa: 1
oa_version: Preprint
publication: Communications on Pure and Applied Mathematics
publication_identifier:
eissn:
- 1097-0312
issn:
- 0010-3640
publication_status: epub_ahead
publisher: Wiley
scopus_import: '1'
status: public
title: Liquid drop model for nuclear matter in the low density limit
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '22290'
abstract:
- lang: eng
text: We introduce a multi-band BCS free energy functional and prove that for a
multi-band superconductor the effect of inter-band coupling can only increase
the critical temperature, irrespective of its attractive or repulsive nature and
its strength. Further, for weak coupling and weaker inter-band coupling, we prove
that the dependence of the increase in critical temperature on the inter-band
coupling is (1) linear, if there are two or more equally strongly superconducting
bands, or (2) quadratic, if there is only one dominating band.
acknowledgement: 'We would like to thank J. Lenells and R. Seiringer for their interest
and helpful discussions, E. Babaev and Y. Yerin for useful comments about the literature,
and the anonymous referee for their comments. J.H. gratefully acknowledges partial
financial support by the ERC Advanced Grant “RMTBeyond” No. 101020331 and the ERC
Consollidator Grant “ProbQuant” (jointly with the Swiss State Secretariat for Education,
Research and Innovation). E.L. gratefully acknowledges support from the Swedish
Research Council, Grant No. 2023-04726. A.B.L. gratefully acknowledges partial financial
support by the Austrian Science Fund (FWF) through grant DOI: 10.55776/I6427 (as
part of the SFB/TRR 352) and by the French State support managed by ANR under the
France 2030 program through the MaQuI CNRS Risky and High-Impact Research programme
(RI)^2 (grant agreement ANR-24-RRII-0001). Open access funding provided by Royal
Institute of Technology.'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Edwin
full_name: Langmann, Edwin
last_name: Langmann
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced
critical temperatures. Annales Henri Poincaré. 2026. doi:10.1007/s00023-026-01706-y
apa: Henheik, S. J., Langmann, E., & Lauritsen, A. B. (2026). Multi-band superconductors
have enhanced critical temperatures. Annales Henri Poincaré. Springer Nature.
https://doi.org/10.1007/s00023-026-01706-y
chicago: Henheik, Sven Joscha, Edwin Langmann, and Asbjørn Bækgaard Lauritsen. “Multi-Band
Superconductors Have Enhanced Critical Temperatures.” Annales Henri Poincaré.
Springer Nature, 2026. https://doi.org/10.1007/s00023-026-01706-y.
ieee: S. J. Henheik, E. Langmann, and A. B. Lauritsen, “Multi-band superconductors
have enhanced critical temperatures,” Annales Henri Poincaré. Springer
Nature, 2026.
ista: Henheik SJ, Langmann E, Lauritsen AB. 2026. Multi-band superconductors have
enhanced critical temperatures. Annales Henri Poincaré.
mla: Henheik, Sven Joscha, et al. “Multi-Band Superconductors Have Enhanced Critical
Temperatures.” Annales Henri Poincaré, Springer Nature, 2026, doi:10.1007/s00023-026-01706-y.
short: S.J. Henheik, E. Langmann, A.B. Lauritsen, Annales Henri Poincaré (2026).
das_tickbox: '1'
dataavailabilitystatement: Data sharing is not applicable to this article as no new
data were created or analyzed in this study.
date_created: 2026-07-13T09:42:22Z
date_published: 2026-06-29T00:00:00Z
date_updated: 2026-07-13T11:34:08Z
day: '29'
ddc:
- '500'
department:
- _id: LaEr
- _id: RoSe
doi: 10.1007/s00023-026-01706-y
ec_funded: 1
external_id:
arxiv:
- '2409.17297'
fulldoi: https://doi.org/10.1007/s00023-026-01706-y
has_accepted_license: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/s00023-026-01706-y
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
- _id: bda63fe5-d553-11ed-ba76-a16e3d2f256b
grant_number: I06427
name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Annales Henri Poincaré
publication_identifier:
eissn:
- 1424-0661
issn:
- 1424-0637
publication_status: epub_ahead
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '19550'
relation: earlier_version
status: public
researchdata_availability: not applicable
scopus_import: '1'
status: public
supplementarymaterial: not applicable
title: Multi-band superconductors have enhanced critical temperatures
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2026'
...
---
OA_place: repository
OA_type: green
_id: '22292'
abstract:
- lang: eng
text: We show that a suitable choice of boundary conditions for the Laplacian allows
for the appearance of an arbitrary number of condensates, described by arbitrary
harmonic functions, in the thermodynamic limit of an ideal Bose gas.
acknowledgement: We are grateful to Rupert Frank and Jakob Yngvason for helpful discussions
and suggestions.
article_number: '061901'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Michiel
full_name: De Wilde, Michiel
id: bebf1407-6635-11f0-9fef-9b7e2dd151d0
last_name: De Wilde
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: De Wilde M, Seiringer R. Arbitrary harmonic functions as Bose–Einstein condensates.
Journal of Mathematical Physics. 2026;67(6). doi:10.1063/5.0325354
apa: De Wilde, M., & Seiringer, R. (2026). Arbitrary harmonic functions as Bose–Einstein
condensates. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0325354
chicago: De Wilde, Michiel, and Robert Seiringer. “Arbitrary Harmonic Functions
as Bose–Einstein Condensates.” Journal of Mathematical Physics. AIP Publishing,
2026. https://doi.org/10.1063/5.0325354.
ieee: M. De Wilde and R. Seiringer, “Arbitrary harmonic functions as Bose–Einstein
condensates,” Journal of Mathematical Physics, vol. 67, no. 6. AIP Publishing,
2026.
ista: De Wilde M, Seiringer R. 2026. Arbitrary harmonic functions as Bose–Einstein
condensates. Journal of Mathematical Physics. 67(6), 061901.
mla: De Wilde, Michiel, and Robert Seiringer. “Arbitrary Harmonic Functions as Bose–Einstein
Condensates.” Journal of Mathematical Physics, vol. 67, no. 6, 061901,
AIP Publishing, 2026, doi:10.1063/5.0325354.
short: M. De Wilde, R. Seiringer, Journal of Mathematical Physics 67 (2026).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: Data sharing is not applicable to this article as no new
data were created or analyzed in this study.
date_created: 2026-07-13T09:45:09Z
date_published: 2026-06-01T00:00:00Z
date_updated: 2026-07-13T12:20:59Z
day: '01'
department:
- _id: RoSe
- _id: GradSch
doi: 10.1063/5.0325354
external_id:
arxiv:
- '2601.22883'
fulldoi: https://doi.org/10.1063/5.0325354
intvolume: ' 67'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2601.22883
month: '06'
oa: 1
oa_version: Preprint
publication: Journal of Mathematical Physics
publication_identifier:
eissn:
- 1089-7658
issn:
- 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
researchdata_availability: not applicable
scopus_import: '1'
status: public
supplementarymaterial: not applicable
title: Arbitrary harmonic functions as Bose–Einstein condensates
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 67
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
_id: '21472'
abstract:
- lang: eng
text: We study the ground state energy of a gas of spin 1/2 fermions with repulsive
short-range interactions. We derive an upper bound that agrees, at low density
e, with the Huang–Yang conjecture. The latter captures the first three terms in
an asymptotic low-density expansion, and in particular the Huang–Yang correction
term of order e^7/3. Our trial state is constructed using an adaptation of the
bosonic Bogoliubov theory to the Fermi system, where the correlation structure
of fermionic particles is incorporated by quasi-bosonic Bogoliubov transformations.
In the latter, it is important to consider a modified zero-energy scattering equation
that takes into account the presence of the Fermi sea, in the spirit of the Bethe–Goldstone
equation.
acknowledgement: "We thank the referees for valuable remarks. This work was partially
funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)
via the TRR 352 – Project-ID 470903074. PTN was partially supported by the European
Research Council via the ERC Consolidator Grant RAMBAS – Project-Nr. 10104424.\r\nOpen
access publishing facilitated by Università degli Studi di Milano, as part of the
Wiley - CRUI-CARE agreement."
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Emanuela L.
full_name: Giacomelli, Emanuela L.
last_name: Giacomelli
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Phan Thành
full_name: Nam, Phan Thành
last_name: Nam
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Giacomelli EL, Hainzl C, Nam PT, Seiringer R. The Huang–Yang formula for the
low-density Fermi gas: Upper bound. Communications on Pure and Applied Mathematics.
2026;79(8):1919-1972. doi:10.1002/cpa.70040'
apa: 'Giacomelli, E. L., Hainzl, C., Nam, P. T., & Seiringer, R. (2026). The
Huang–Yang formula for the low-density Fermi gas: Upper bound. Communications
on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.70040'
chicago: 'Giacomelli, Emanuela L., Christian Hainzl, Phan Thành Nam, and Robert
Seiringer. “The Huang–Yang Formula for the Low-Density Fermi Gas: Upper Bound.”
Communications on Pure and Applied Mathematics. Wiley, 2026. https://doi.org/10.1002/cpa.70040.'
ieee: 'E. L. Giacomelli, C. Hainzl, P. T. Nam, and R. Seiringer, “The Huang–Yang
formula for the low-density Fermi gas: Upper bound,” Communications on Pure
and Applied Mathematics, vol. 79, no. 8. Wiley, pp. 1919–1972, 2026.'
ista: 'Giacomelli EL, Hainzl C, Nam PT, Seiringer R. 2026. The Huang–Yang formula
for the low-density Fermi gas: Upper bound. Communications on Pure and Applied
Mathematics. 79(8), 1919–1972.'
mla: 'Giacomelli, Emanuela L., et al. “The Huang–Yang Formula for the Low-Density
Fermi Gas: Upper Bound.” Communications on Pure and Applied Mathematics,
vol. 79, no. 8, Wiley, 2026, pp. 1919–72, doi:10.1002/cpa.70040.'
short: E.L. Giacomelli, C. Hainzl, P.T. Nam, R. Seiringer, Communications on Pure
and Applied Mathematics 79 (2026) 1919–1972.
das_tickbox: '0'
date_created: 2026-03-22T23:04:33Z
date_published: 2026-08-01T00:00:00Z
date_updated: 2026-07-27T11:40:33Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1002/cpa.70040
external_id:
arxiv:
- '2409.17914'
file:
- access_level: open_access
checksum: 4ef624157c2f6cb837be229dd6b912cc
content_type: application/pdf
creator: dernst
date_created: 2026-07-27T11:38:57Z
date_updated: 2026-07-27T11:38:57Z
file_id: '22423'
file_name: 2026_CommPureApplMath_Giacomelli.pdf
file_size: 2224756
relation: main_file
success: 1
file_date_updated: 2026-07-27T11:38:57Z
fulldoi: https://doi.org/10.1002/cpa.70040
has_accepted_license: '1'
intvolume: ' 79'
issue: '8'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
page: 1919-1972
publication: Communications on Pure and Applied Mathematics
publication_identifier:
eissn:
- 1097-0312
issn:
- 0010-3640
publication_status: published
publisher: Wiley
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: 'The Huang–Yang formula for the low-density Fermi gas: Upper bound'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 79
year: '2026'
...
---
OA_place: repository
OA_type: green
_id: '22404'
abstract:
- lang: eng
text: We consider a class of two-dimensional tight binding models displaying conical
intersections of the Bloch bands at the Fermi level. The setting includes the
case of generic transitions between quantum Hall phases. We consider the longitudinal
conductivity, as given by Kubo formula, describing the variation of the current
after introducing a space-homogeneous electric field, in an adiabatic way. We
obtain an explicit expression for the longitudinal conductivity, completely determined
by the number of conical intersections and by the shape of the cones. In particular,
the formula reproduces the known quantized values found for graphene and for the
critical Haldane model. Furthermore, we discuss the validity of Kubo formula in
presence of conical intersections in the spectrum, starting from the time-dependent
Schrödinger equation. For electric fields which are weak and slowly varying in
space and in time, we prove the validity of linear response from quantum dynamics.
acknowledgement: G. M. and M. P. acknowledge support by the European Research Council
through the ERC-StG MaMBoQ, n. 802901. G. M. acknowledges financial support from
the Independent Research Fund Denmark–Natural Sciences, grant DFF–10.46540/2032-00005B
and from the European Research Council through the ERC CoG UniCoSM, grant agreement
n.724939. M. P. acknowledges support from the MUR, PRIN 2022 project MaIQuFi cod.
20223J85K3. This work has been carried out under the auspices of the GNFM of INdAM.
We thank the anonymous referees for comments on a previous version of this manuscript.
article_number: '82'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Giovanna
full_name: Marcelli, Giovanna
last_name: Marcelli
- first_name: Lorenzo
full_name: Pigozzi, Lorenzo
id: efb8f850-3208-11ee-ac71-8c4f5803b9c6
last_name: Pigozzi
- first_name: Marcello
full_name: Porta, Marcello
last_name: Porta
citation:
ama: Marcelli G, Pigozzi L, Porta M. Longitudinal conductivity at integer quantum
Hall transitions. Letters in Mathematical Physics. 2026;116(4). doi:10.1007/s11005-026-02087-3
apa: Marcelli, G., Pigozzi, L., & Porta, M. (2026). Longitudinal conductivity
at integer quantum Hall transitions. Letters in Mathematical Physics. Springer
Nature. https://doi.org/10.1007/s11005-026-02087-3
chicago: Marcelli, Giovanna, Lorenzo Pigozzi, and Marcello Porta. “Longitudinal
Conductivity at Integer Quantum Hall Transitions.” Letters in Mathematical
Physics. Springer Nature, 2026. https://doi.org/10.1007/s11005-026-02087-3.
ieee: G. Marcelli, L. Pigozzi, and M. Porta, “Longitudinal conductivity at integer
quantum Hall transitions,” Letters in Mathematical Physics, vol. 116, no.
4. Springer Nature, 2026.
ista: Marcelli G, Pigozzi L, Porta M. 2026. Longitudinal conductivity at integer
quantum Hall transitions. Letters in Mathematical Physics. 116(4), 82.
mla: Marcelli, Giovanna, et al. “Longitudinal Conductivity at Integer Quantum Hall
Transitions.” Letters in Mathematical Physics, vol. 116, no. 4, 82, Springer
Nature, 2026, doi:10.1007/s11005-026-02087-3.
short: G. Marcelli, L. Pigozzi, M. Porta, Letters in Mathematical Physics 116 (2026).
das_tickbox: '1'
dataavailabilitystatement: Data sharing is not applicable to this article as no datasets
were generated or analyzed during the current study.
date_created: 2026-07-26T22:01:40Z
date_published: 2026-08-01T00:00:00Z
date_updated: 2026-07-29T10:51:55Z
day: '01'
department:
- _id: RoSe
- _id: GradSch
doi: 10.1007/s11005-026-02087-3
external_id:
arxiv:
- '2503.01381'
fulldoi: https://doi.org/10.1007/s11005-026-02087-3
intvolume: ' 116'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2503.01381
mathsc:
- 81V70
month: '08'
oa: 1
oa_version: Preprint
publication: Letters in Mathematical Physics
publication_identifier:
eissn:
- 1573-0530
issn:
- 0377-9017
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: not applicable
scopus_import: '1'
status: public
supplementarymaterial: no
title: Longitudinal conductivity at integer quantum Hall transitions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 116
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '22639'
abstract:
- lang: eng
text: We present an abstract Dyson expansion for perturbations that are merely relatively
form-bounded, and apply it to the polaron problem. For a large class of polaron-type
models, including the Fröhlich and Nelson models, we prove that the vacuum expectation
value of the heat semi-group is a completely monotone function of the square of
the total momentum. Consequently, the ground-state energy is a concave function
of the square of the momentum, a result recently proved for the Fröhlich model
in [14] using a probabilistic approach via Wiener integrals.
acknowledgement: Open access funding provided by Institute of Science and Technology
(IST Austria).
article_number: '87'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Davide
full_name: Desio, Davide
id: ea10a57b-23f6-11ef-9085-80d8596d52ef
last_name: Desio
orcid: 0000-0001-9840-3809
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Desio D, Seiringer R. Dyson expansion for form-bounded perturbations and applications
to the polaron problem. Letters in Mathematical Physics. 2026;116(4). doi:10.1007/s11005-026-02107-2
apa: Desio, D., & Seiringer, R. (2026). Dyson expansion for form-bounded perturbations
and applications to the polaron problem. Letters in Mathematical Physics.
Springer Nature. https://doi.org/10.1007/s11005-026-02107-2
chicago: Desio, Davide, and Robert Seiringer. “Dyson Expansion for Form-Bounded
Perturbations and Applications to the Polaron Problem.” Letters in Mathematical
Physics. Springer Nature, 2026. https://doi.org/10.1007/s11005-026-02107-2.
ieee: D. Desio and R. Seiringer, “Dyson expansion for form-bounded perturbations
and applications to the polaron problem,” Letters in Mathematical Physics,
vol. 116, no. 4. Springer Nature, 2026.
ista: Desio D, Seiringer R. 2026. Dyson expansion for form-bounded perturbations
and applications to the polaron problem. Letters in Mathematical Physics. 116(4),
87.
mla: Desio, Davide, and Robert Seiringer. “Dyson Expansion for Form-Bounded Perturbations
and Applications to the Polaron Problem.” Letters in Mathematical Physics,
vol. 116, no. 4, 87, Springer Nature, 2026, doi:10.1007/s11005-026-02107-2.
short: D. Desio, R. Seiringer, Letters in Mathematical Physics 116 (2026).
corr_author: '1'
das_tickbox: '0'
date_created: 2026-08-03T13:21:14Z
date_published: 2026-07-17T00:00:00Z
date_updated: 2026-08-04T05:57:21Z
day: '17'
ddc:
- '510'
department:
- _id: RoSe
- _id: GradSch
doi: 10.1007/s11005-026-02107-2
external_id:
arxiv:
- '2512.13443'
file:
- access_level: open_access
checksum: 1b90ff7da16b9604d6fe2c6281493456
content_type: application/pdf
creator: dernst
date_created: 2026-08-04T05:55:58Z
date_updated: 2026-08-04T05:55:58Z
file_id: '22641'
file_name: 2026_LettersMathPhysics_Desio.pdf
file_size: 371840
relation: main_file
success: 1
file_date_updated: 2026-08-04T05:55:58Z
fulldoi: https://doi.org/10.1007/s11005-026-02107-2
has_accepted_license: '1'
intvolume: ' 116'
issue: '4'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
publication: Letters in Mathematical Physics
publication_identifier:
issn:
- 1573-0530
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Dyson expansion for form-bounded perturbations and applications to the polaron
problem
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 116
year: '2026'
...
---
OA_place: repository
OA_type: green
_id: '21270'
abstract:
- lang: eng
text: "The one-dimensional Fröhlich model describing the motion of a single electron
interacting with optical phonons is a paradigmatic model of quantum many-body
physics. We predict the existence of an arbitrarily large number of bound excited
states in the strong-coupling limit and calculate their excitation energies. Numerical
simulations of a discretized model demonstrate the complete amelioration of the
projector Monte Carlo sign problem by walker annihilation in an infinite Hilbert
space. They reveal the threshold for the occurrence of the first bound excited
states at a value of \U0001D6FC≈1.73 for the dimensionless coupling constant.
This puts the threshold into the regime of intermediate interaction strength.
We find a significant spectral weight and increased phonon number of the bound
excited state at threshold."
acknowledgement: We are grateful to Dmytro Kolisnyk for his help in working out the
spectrum of the Hessian. This work was supported by the Marsden Fund of New Zealand
(Contract No. MAU2007) from government funding administered by the Royal Society
Te Apārangi and by a summer scholarship from Te Whai Ao – Dodd-Walls Centre for
Photonic and Quantum Technologies and the Physics Department, University of Auckland.
We acknowledge support by the New Zealand eScience Infrastructure (NeSI) high-performance
computing facilities in the form of a merit project allocation.
article_number: '184312'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: J.
full_name: Taylor, J.
last_name: Taylor
- first_name: M.
full_name: Čufar, M.
last_name: Čufar
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: E.
full_name: Pahl, E.
last_name: Pahl
- first_name: J.
full_name: Brand, J.
last_name: Brand
citation:
ama: Taylor J, Čufar M, Mitrouskas DJ, Seiringer R, Pahl E, Brand J. Bound excited
states of Fröhlich polarons in one dimension. Physical Review B. 2025;112(18).
doi:10.1103/s9p9-jflq
apa: Taylor, J., Čufar, M., Mitrouskas, D. J., Seiringer, R., Pahl, E., & Brand,
J. (2025). Bound excited states of Fröhlich polarons in one dimension. Physical
Review B. American Physical Society. https://doi.org/10.1103/s9p9-jflq
chicago: Taylor, J., M. Čufar, David Johannes Mitrouskas, Robert Seiringer, E. Pahl,
and J. Brand. “Bound Excited States of Fröhlich Polarons in One Dimension.” Physical
Review B. American Physical Society, 2025. https://doi.org/10.1103/s9p9-jflq.
ieee: J. Taylor, M. Čufar, D. J. Mitrouskas, R. Seiringer, E. Pahl, and J. Brand,
“Bound excited states of Fröhlich polarons in one dimension,” Physical Review
B, vol. 112, no. 18. American Physical Society, 2025.
ista: Taylor J, Čufar M, Mitrouskas DJ, Seiringer R, Pahl E, Brand J. 2025. Bound
excited states of Fröhlich polarons in one dimension. Physical Review B. 112(18),
184312.
mla: Taylor, J., et al. “Bound Excited States of Fröhlich Polarons in One Dimension.”
Physical Review B, vol. 112, no. 18, 184312, American Physical Society,
2025, doi:10.1103/s9p9-jflq.
short: J. Taylor, M. Čufar, D.J. Mitrouskas, R. Seiringer, E. Pahl, J. Brand, Physical
Review B 112 (2025).
date_created: 2026-02-17T07:56:20Z
date_published: 2025-11-18T00:00:00Z
date_updated: 2026-02-18T08:23:59Z
day: '18'
department:
- _id: RoSe
doi: 10.1103/s9p9-jflq
external_id:
arxiv:
- '2506.02440 '
fulldoi: https://doi.org/10.1103/s9p9-jflq
intvolume: ' 112'
issue: '18'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: 'https://doi.org/10.48550/arXiv.2506.02440 '
month: '11'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_identifier:
eissn:
- 2469-9969
issn:
- 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bound excited states of Fröhlich polarons in one dimension
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 112
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19403'
abstract:
- lang: eng
text: We study the BCS critical temperature on half-spaces in dimensions d =1, 2,
3 with Dirichlet or Neumann boundary conditions. We prove that the critical temperature
on a half-space is strictly higher than on Rd, at least at weak coupling in d
= 1, 2 and weak coupling and small chemical potential in d = 3. Furthermore, we
show that the relative shift in critical temperature vanishes in the weak coupling
limit.
acknowledgement: Open access funding provided by Institute of Science and Technology
(IST Austria). Financial support by the Austrian Science Fund (FWF) through project
number I 6427-N (as part of the SFB/TRR 352) is gratefully acknowledged.
article_number: '20'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Barbara
full_name: Roos, Barbara
id: 5DA90512-D80F-11E9-8994-2E2EE6697425
last_name: Roos
orcid: 0000-0002-9071-5880
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Roos B, Seiringer R. BCS critical temperature on half-spaces. Archive for
Rational Mechanics and Analysis. 2025;249. doi:10.1007/s00205-025-02088-x
apa: Roos, B., & Seiringer, R. (2025). BCS critical temperature on half-spaces.
Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-025-02088-x
chicago: Roos, Barbara, and Robert Seiringer. “BCS Critical Temperature on Half-Spaces.”
Archive for Rational Mechanics and Analysis. Springer Nature, 2025. https://doi.org/10.1007/s00205-025-02088-x.
ieee: B. Roos and R. Seiringer, “BCS critical temperature on half-spaces,” Archive
for Rational Mechanics and Analysis, vol. 249. Springer Nature, 2025.
ista: Roos B, Seiringer R. 2025. BCS critical temperature on half-spaces. Archive
for Rational Mechanics and Analysis. 249, 20.
mla: Roos, Barbara, and Robert Seiringer. “BCS Critical Temperature on Half-Spaces.”
Archive for Rational Mechanics and Analysis, vol. 249, 20, Springer Nature,
2025, doi:10.1007/s00205-025-02088-x.
short: B. Roos, R. Seiringer, Archive for Rational Mechanics and Analysis 249 (2025).
corr_author: '1'
date_created: 2025-03-16T23:01:24Z
date_published: 2025-04-01T00:00:00Z
date_updated: 2025-09-30T11:01:08Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00205-025-02088-x
external_id:
arxiv:
- '2306.05824'
isi:
- '001435380100001'
pmid:
- '40041541'
file:
- access_level: open_access
checksum: 66803fb63a57987eb4f13ee2949bea77
content_type: application/pdf
creator: dernst
date_created: 2025-03-17T10:07:45Z
date_updated: 2025-03-17T10:07:45Z
file_id: '19412'
file_name: 2025_ArchiveRatMech_Roos.pdf
file_size: 1224282
relation: main_file
success: 1
file_date_updated: 2025-03-17T10:07:45Z
fulldoi: https://doi.org/10.1007/s00205-025-02088-x
has_accepted_license: '1'
intvolume: ' 249'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: bda63fe5-d553-11ed-ba76-a16e3d2f256b
grant_number: I06427
name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: BCS critical temperature on half-spaces
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 249
year: '2025'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '19628'
abstract:
- lang: eng
text: We consider the critical temperature for superconductivity, defined via the
linear BCS equation. We prove that at weak coupling the critical temperature for
a sample confined to a quadrant in two dimensions is strictly larger than the
one for a half-space, which in turn is strictly larger than the one for R^2.
Furthermore, we prove that the relative difference of the critical temperatures
vanishes in the weak coupling limit.
article_number: e71
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Barbara
full_name: Roos, Barbara
id: 5DA90512-D80F-11E9-8994-2E2EE6697425
last_name: Roos
orcid: 0000-0002-9071-5880
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Roos B, Seiringer R. Enhanced superconductivity at a corner for the linear
BCS equation. Forum of Mathematics, Sigma. 2025;13. doi:10.1017/fms.2024.145
apa: Roos, B., & Seiringer, R. (2025). Enhanced superconductivity at a corner
for the linear BCS equation. Forum of Mathematics, Sigma. Cambridge University
Press. https://doi.org/10.1017/fms.2024.145
chicago: Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner
for the Linear BCS Equation.” Forum of Mathematics, Sigma. Cambridge University
Press, 2025. https://doi.org/10.1017/fms.2024.145.
ieee: B. Roos and R. Seiringer, “Enhanced superconductivity at a corner for the
linear BCS equation,” Forum of Mathematics, Sigma, vol. 13. Cambridge University
Press, 2025.
ista: Roos B, Seiringer R. 2025. Enhanced superconductivity at a corner for the
linear BCS equation. Forum of Mathematics, Sigma. 13, e71.
mla: Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner
for the Linear BCS Equation.” Forum of Mathematics, Sigma, vol. 13, e71,
Cambridge University Press, 2025, doi:10.1017/fms.2024.145.
short: B. Roos, R. Seiringer, Forum of Mathematics, Sigma 13 (2025).
corr_author: '1'
date_created: 2025-04-27T22:02:14Z
date_published: 2025-04-14T00:00:00Z
date_updated: 2025-09-30T12:20:22Z
day: '14'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1017/fms.2024.145
external_id:
arxiv:
- '2308.07115'
isi:
- '001465985500001'
file:
- access_level: open_access
checksum: b0919b3a14f2cb39f8df0e3f41b8d6f1
content_type: application/pdf
creator: dernst
date_created: 2025-05-05T09:41:42Z
date_updated: 2025-05-05T09:41:42Z
file_id: '19651'
file_name: 2025_ForumMathSigma_Roos.pdf
file_size: 631645
relation: main_file
success: 1
file_date_updated: 2025-05-05T09:41:42Z
fulldoi: https://doi.org/10.1017/fms.2024.145
has_accepted_license: '1'
intvolume: ' 13'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
project:
- _id: bda63fe5-d553-11ed-ba76-a16e3d2f256b
grant_number: I06427
name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Forum of Mathematics, Sigma
publication_identifier:
eissn:
- 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Enhanced superconductivity at a corner for the linear BCS equation
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 13
year: '2025'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '19642'
abstract:
- lang: eng
text: We study the criticality and subcriticality of powers (−Δ) α with α>0 of
the discrete Laplacian −Δ acting on ℓ 2 (N). We prove that these positive powers
of the Laplacian are critical if and only if α≥3/2. We complement our analysis
with Hardy-type inequalities for (−Δ) α in the subcritical regimes α∈(0,3/2).
As an illustration of the critical case α≥3/2, we analyze asymptotic properties
of discrete eigenvalues emerging by coupling (−Δ) α with a localized potential.
acknowledgement: "We are grateful to Petr Siegl for a helpful suggestion leading to
Hardy weights with the expected optimal decay rate.\r\nThe authors acknowledge the
support of the EXPRO grant no. 20-17749X of the Czech Science Foundation.\r\n"
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Borbála M
full_name: Gerhát, Borbála M
id: 00ffceaa-f31d-11ee-93bd-f7e13e61af5e
last_name: Gerhát
- first_name: David
full_name: Krejčiřík, David
last_name: Krejčiřík
- first_name: František
full_name: Štampach, František
last_name: Štampach
citation:
ama: Gerhát BM, Krejčiřík D, Štampach F. Criticality transition for positive powers
of the discrete Laplacian on the half line. Revista Matematica Iberoamericana.
2025;41(3):1173-1200. doi:10.4171/RMI/1523
apa: Gerhát, B. M., Krejčiřík, D., & Štampach, F. (2025). Criticality transition
for positive powers of the discrete Laplacian on the half line. Revista Matematica
Iberoamericana. EMS Press. https://doi.org/10.4171/RMI/1523
chicago: Gerhát, Borbála M, David Krejčiřík, and František Štampach. “Criticality
Transition for Positive Powers of the Discrete Laplacian on the Half Line.” Revista
Matematica Iberoamericana. EMS Press, 2025. https://doi.org/10.4171/RMI/1523.
ieee: B. M. Gerhát, D. Krejčiřík, and F. Štampach, “Criticality transition for positive
powers of the discrete Laplacian on the half line,” Revista Matematica Iberoamericana,
vol. 41, no. 3. EMS Press, pp. 1173–1200, 2025.
ista: Gerhát BM, Krejčiřík D, Štampach F. 2025. Criticality transition for positive
powers of the discrete Laplacian on the half line. Revista Matematica Iberoamericana.
41(3), 1173–1200.
mla: Gerhát, Borbála M., et al. “Criticality Transition for Positive Powers of the
Discrete Laplacian on the Half Line.” Revista Matematica Iberoamericana,
vol. 41, no. 3, EMS Press, 2025, pp. 1173–200, doi:10.4171/RMI/1523.
short: B.M. Gerhát, D. Krejčiřík, F. Štampach, Revista Matematica Iberoamericana
41 (2025) 1173–1200.
corr_author: '1'
date_created: 2025-05-04T22:02:32Z
date_published: 2025-01-23T00:00:00Z
date_updated: 2025-09-30T12:23:41Z
day: '23'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.4171/RMI/1523
external_id:
arxiv:
- '2307.09919'
isi:
- '001476507600013'
file:
- access_level: open_access
checksum: 90031b93459af54a6e63ddf2818c6f42
content_type: application/pdf
creator: dernst
date_created: 2025-05-05T11:38:34Z
date_updated: 2025-05-05T11:38:34Z
file_id: '19656'
file_name: 2025_RevistaMat_Gerhat.pdf
file_size: 555474
relation: main_file
success: 1
file_date_updated: 2025-05-05T11:38:34Z
fulldoi: https://doi.org/10.4171/RMI/1523
has_accepted_license: '1'
intvolume: ' 41'
isi: 1
issue: '3'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 1173-1200
publication: Revista Matematica Iberoamericana
publication_identifier:
eissn:
- 2235-0616
issn:
- 0213-2230
publication_status: published
publisher: EMS Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Criticality transition for positive powers of the discrete Laplacian on the
half line
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 41
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19660'
abstract:
- lang: eng
text: We analyze the ground state energy of N fermions in a two-dimensional box
interacting with an impurity particle via two-body point interactions. We show
that for weak coupling, the ground state energy is asymptotically described by
the polaron energy, as proposed by F. Chevy in the physics literature. The polaron
energy is the solution of a nonlinear equation involving the Green’s function
of the free Fermi gas and the binding energy of the two-body point interaction.
We provide quantitative error estimates that are uniform in the thermodynamic
limit.
acknowledgement: The author would like to thank Ulrich Linden for introducing him
to the Fermi polaron and for his valuable contributions in the early stages of this
project. Additionally, the author is grateful to Krzysztof Myśliwy for helpful comments.
Open access funding provided by Institute of Science and Technology (IST Austria).
article_number: '30'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
citation:
ama: Mitrouskas DJ. The weakly coupled two-dimensional Fermi polaron. Archive
for Rational Mechanics and Analysis. 2025;249(3). doi:10.1007/s00205-025-02098-9
apa: Mitrouskas, D. J. (2025). The weakly coupled two-dimensional Fermi polaron.
Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-025-02098-9
chicago: Mitrouskas, David Johannes. “The Weakly Coupled Two-Dimensional Fermi Polaron.”
Archive for Rational Mechanics and Analysis. Springer Nature, 2025. https://doi.org/10.1007/s00205-025-02098-9.
ieee: D. J. Mitrouskas, “The weakly coupled two-dimensional Fermi polaron,” Archive
for Rational Mechanics and Analysis, vol. 249, no. 3. Springer Nature, 2025.
ista: Mitrouskas DJ. 2025. The weakly coupled two-dimensional Fermi polaron. Archive
for Rational Mechanics and Analysis. 249(3), 30.
mla: Mitrouskas, David Johannes. “The Weakly Coupled Two-Dimensional Fermi Polaron.”
Archive for Rational Mechanics and Analysis, vol. 249, no. 3, 30, Springer
Nature, 2025, doi:10.1007/s00205-025-02098-9.
short: D.J. Mitrouskas, Archive for Rational Mechanics and Analysis 249 (2025).
corr_author: '1'
date_created: 2025-05-11T22:02:37Z
date_published: 2025-06-01T00:00:00Z
date_updated: 2025-09-30T12:25:19Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00205-025-02098-9
external_id:
isi:
- '001482770500001'
file:
- access_level: open_access
checksum: 3606ebd34d59d03f8c66a3a1794c3e4f
content_type: application/pdf
creator: dernst
date_created: 2025-05-12T07:27:28Z
date_updated: 2025-05-12T07:27:28Z
file_id: '19676'
file_name: 2025_ArchiveRatioMechanics_Mitrouskas.pdf
file_size: 886318
relation: main_file
success: 1
file_date_updated: 2025-05-12T07:27:28Z
fulldoi: https://doi.org/10.1007/s00205-025-02098-9
has_accepted_license: '1'
intvolume: ' 249'
isi: 1
issue: '3'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The weakly coupled two-dimensional Fermi polaron
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 249
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19661'
abstract:
- lang: eng
text: The Nelson model describes non-relativistic particles coupled to a relativistic
Bose scalar field. In this article, we study the renormalized version of the Nelson
model with massless bosons in Davies' weak coupling limit. Our main result states
that the two-body Coulomb potential emerges as an effective pair interaction between
the particles, which arises from the exchange of virtual excitations of the quantum
field.
acknowledgement: "D M thanks Nataˇsa Pavlovi´c for the invitation to the University
of Texas at Austin and for the\r\nhospitality offered by the department, where part
of this work was performed. E C gratefully\r\nacknowledges support from NSF under
Grant Nos DMS-2009549 and DMS-2052789 through\r\nNataˇsa Pavlovi´"
article_number: '175201'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Esteban
full_name: Cárdenas, Esteban
last_name: Cárdenas
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
citation:
ama: 'Cárdenas E, Mitrouskas DJ. The renormalized Nelson model in the weak coupling
limit. Journal of Physics A: Mathematical and Theoretical. 2025;58(17).
doi:10.1088/1751-8121/adcdd9'
apa: 'Cárdenas, E., & Mitrouskas, D. J. (2025). The renormalized Nelson model
in the weak coupling limit. Journal of Physics A: Mathematical and Theoretical.
IOP Publishing. https://doi.org/10.1088/1751-8121/adcdd9'
chicago: 'Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson
Model in the Weak Coupling Limit.” Journal of Physics A: Mathematical and Theoretical.
IOP Publishing, 2025. https://doi.org/10.1088/1751-8121/adcdd9.'
ieee: 'E. Cárdenas and D. J. Mitrouskas, “The renormalized Nelson model in the weak
coupling limit,” Journal of Physics A: Mathematical and Theoretical, vol.
58, no. 17. IOP Publishing, 2025.'
ista: 'Cárdenas E, Mitrouskas DJ. 2025. The renormalized Nelson model in the weak
coupling limit. Journal of Physics A: Mathematical and Theoretical. 58(17), 175201.'
mla: 'Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson
Model in the Weak Coupling Limit.” Journal of Physics A: Mathematical and Theoretical,
vol. 58, no. 17, 175201, IOP Publishing, 2025, doi:10.1088/1751-8121/adcdd9.'
short: 'E. Cárdenas, D.J. Mitrouskas, Journal of Physics A: Mathematical and Theoretical
58 (2025).'
corr_author: '1'
date_created: 2025-05-11T22:02:37Z
date_published: 2025-04-28T00:00:00Z
date_updated: 2025-09-30T12:24:45Z
day: '28'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1088/1751-8121/adcdd9
external_id:
arxiv:
- '2412.01670'
isi:
- '001474094200001'
file:
- access_level: open_access
checksum: a181e1c2d8df08eb683a355e81c5e85a
content_type: application/pdf
creator: dernst
date_created: 2025-05-12T07:13:07Z
date_updated: 2025-05-12T07:13:07Z
file_id: '19675'
file_name: 2025_JourPhysicsA_Cardenas.pdf
file_size: 551190
relation: main_file
success: 1
file_date_updated: 2025-05-12T07:13:07Z
fulldoi: https://doi.org/10.1088/1751-8121/adcdd9
has_accepted_license: '1'
intvolume: ' 58'
isi: 1
issue: '17'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_identifier:
eissn:
- 1751-8121
issn:
- 1751-8113
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: The renormalized Nelson model in the weak coupling limit
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 58
year: '2025'
...
---
APC_amount: 2320,48 EUR
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '19705'
abstract:
- lang: eng
text: A maximal realization of the two-dimensional Pauli operator, subject to Aharonov–Bohm
magnetic field, is investigated. Contrary to the case of the Pauli operator with
regular magnetic potentials, it is shown that both components of the Pauli operator
are critical. Asymptotics of the weakly coupled eigenvalues, generated by electric
(not necessarily self-adjoint) perturbations, are derived.
acknowledgement: Thanks belong to Johannes Ageskov and Matˇej Tuˇsek for helpful discussions
on some technical details. M. F. would further like to acknowledge support for research
on this paper from the European Unions Horizon 2020 research and innovation programme
under the Marie Sklodowska-Curie Grant Agreement No. 101034413 as well as support
by funding from Villum Fonden through the QMATH Centreof Excellence Grant No. 10059.
D. K. was supported by the EXPRO Grant No.20-17749X of the Czech Science Foundation
(GACR).
article_number: '2550011'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Marie
full_name: Fialova, Marie
id: e9c9844d-9e21-11ec-b482-f96fc09f7c4d
last_name: Fialova
- first_name: David
full_name: Krejčiřík, David
last_name: Krejčiřík
citation:
ama: Fialova M, Krejčiřík D. Virtual bound states of the Pauli operator with an
Aharonov–Bohm potential. Reviews in Mathematical Physics. 2025;37(6). doi:10.1142/S0129055X25500114
apa: Fialova, M., & Krejčiřík, D. (2025). Virtual bound states of the Pauli
operator with an Aharonov–Bohm potential. Reviews in Mathematical Physics.
World Scientific Publishing. https://doi.org/10.1142/S0129055X25500114
chicago: Fialova, Marie, and David Krejčiřík. “Virtual Bound States of the Pauli
Operator with an Aharonov–Bohm Potential.” Reviews in Mathematical Physics.
World Scientific Publishing, 2025. https://doi.org/10.1142/S0129055X25500114.
ieee: M. Fialova and D. Krejčiřík, “Virtual bound states of the Pauli operator with
an Aharonov–Bohm potential,” Reviews in Mathematical Physics, vol. 37,
no. 6. World Scientific Publishing, 2025.
ista: Fialova M, Krejčiřík D. 2025. Virtual bound states of the Pauli operator with
an Aharonov–Bohm potential. Reviews in Mathematical Physics. 37(6), 2550011.
mla: Fialova, Marie, and David Krejčiřík. “Virtual Bound States of the Pauli Operator
with an Aharonov–Bohm Potential.” Reviews in Mathematical Physics, vol.
37, no. 6, 2550011, World Scientific Publishing, 2025, doi:10.1142/S0129055X25500114.
short: M. Fialova, D. Krejčiřík, Reviews in Mathematical Physics 37 (2025).
date_created: 2025-05-18T22:02:51Z
date_published: 2025-07-01T00:00:00Z
date_updated: 2026-05-06T13:03:25Z
day: '01'
ddc:
- '530'
- '510'
department:
- _id: RoSe
doi: 10.1142/S0129055X25500114
ec_funded: 1
external_id:
arxiv:
- '2501.17029'
isi:
- '001481012500001'
file:
- access_level: open_access
checksum: 559d97ee2da28bf0bd2c6af507f3a914
content_type: application/pdf
creator: dernst
date_created: 2025-12-30T08:23:12Z
date_updated: 2025-12-30T08:23:12Z
file_id: '20893'
file_name: 2025_ReviewsMathPhysics_Fialova.pdf
file_size: 484646
relation: main_file
success: 1
file_date_updated: 2025-12-30T08:23:12Z
fulldoi: https://doi.org/10.1142/S0129055X25500114
has_accepted_license: '1'
intvolume: ' 37'
isi: 1
issue: '6'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: Reviews in Mathematical Physics
publication_identifier:
eissn:
- 1793-6659
issn:
- 0129-055X
publication_status: published
publisher: World Scientific Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Virtual bound states of the Pauli operator with an Aharonov–Bohm potential
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 37
year: '2025'
...
---
DOAJ_listed: '1'
OA_place: repository
OA_type: green
_id: '20045'
abstract:
- lang: eng
text: We consider the time evolution of the renormalized Nelson model, which describes
N bosons linearly coupled to a quantized scalar field, in the mean-field limit
of many particles N≫1 with coupling constant proportional to N^−1/2. First, we
show that initial states exhibiting Bose–Einstein condensation for the particles
and approximating a coherent state for the quantum field retain their structure
under the many-body time evolution. Concretely, the dynamics of the reduced densities
are approximated by solutions of two coupled PDEs, the Schrödinger–Klein–Gordon
equations. Second, we construct a renormalized Bogoliubov evolution that describes
the quantum fluctuations around the Schrödinger–Klein–Gordon equations. This evolution
is used to extend the approximation of the evolved many-body state to the full
norm topology. In summary, we provide a comprehensive analysis of the Nelson model
that reveals the role of renormalization in the mean-field Bogoliubov theory.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Marco
full_name: Falconi, Marco
last_name: Falconi
- first_name: Jonas
full_name: Lampart, Jonas
last_name: Lampart
- first_name: Nikolai
full_name: Leopold, Nikolai
last_name: Leopold
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
citation:
ama: Falconi M, Lampart J, Leopold N, Mitrouskas DJ. Renormalized Bogoliubov theory
for the Nelson model. Annales de l’Institut Henri Poincaré C. 2025. doi:10.4171/aihpc/154
apa: Falconi, M., Lampart, J., Leopold, N., & Mitrouskas, D. J. (2025). Renormalized
Bogoliubov theory for the Nelson model. Annales de l’Institut Henri Poincaré
C. EMS Press. https://doi.org/10.4171/aihpc/154
chicago: Falconi, Marco, Jonas Lampart, Nikolai Leopold, and David Johannes Mitrouskas.
“Renormalized Bogoliubov Theory for the Nelson Model.” Annales de l’Institut
Henri Poincaré C. EMS Press, 2025. https://doi.org/10.4171/aihpc/154.
ieee: M. Falconi, J. Lampart, N. Leopold, and D. J. Mitrouskas, “Renormalized Bogoliubov
theory for the Nelson model,” Annales de l’Institut Henri Poincaré C. EMS
Press, 2025.
ista: Falconi M, Lampart J, Leopold N, Mitrouskas DJ. 2025. Renormalized Bogoliubov
theory for the Nelson model. Annales de l’Institut Henri Poincaré C.
mla: Falconi, Marco, et al. “Renormalized Bogoliubov Theory for the Nelson Model.”
Annales de l’Institut Henri Poincaré C, EMS Press, 2025, doi:10.4171/aihpc/154.
short: M. Falconi, J. Lampart, N. Leopold, D.J. Mitrouskas, Annales de l’Institut
Henri Poincaré C (2025).
date_created: 2025-07-21T07:59:16Z
date_published: 2025-05-06T00:00:00Z
date_updated: 2025-12-30T07:31:09Z
day: '06'
department:
- _id: RoSe
doi: 10.4171/aihpc/154
external_id:
arxiv:
- '2305.06722'
fulldoi: https://doi.org/10.4171/aihpc/154
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2305.06722
month: '05'
oa: 1
oa_version: Preprint
publication: Annales de l'Institut Henri Poincaré C
publication_identifier:
eissn:
- 1873-1430
issn:
- 0294-1449
publication_status: epub_ahead
publisher: EMS Press
quality_controlled: '1'
status: public
title: Renormalized Bogoliubov theory for the Nelson model
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '20251'
abstract:
- lang: eng
text: The Lane–Emden inequality controls (math. formular) in terms of the L^1 and
L^p norms of p. We provide a remainder estimate for this inequality in terms of
a suitable distance of p to the manifold of optimizers.
acknowledgement: We are grateful to Rupert Frank and Enno Lenzmann for helpful discussions.
article_number: '226'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Eric
full_name: Carlen, Eric
last_name: Carlen
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Elliott H.
full_name: Lieb, Elliott H.
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Carlen E, Lewin M, Lieb EH, Seiringer R. Stability estimate for the Lane–Emden
inequality. Calculus of Variations and Partial Differential Equations.
2025;64(7). doi:10.1007/s00526-025-03062-x
apa: Carlen, E., Lewin, M., Lieb, E. H., & Seiringer, R. (2025). Stability estimate
for the Lane–Emden inequality. Calculus of Variations and Partial Differential
Equations. Springer Nature. https://doi.org/10.1007/s00526-025-03062-x
chicago: Carlen, Eric, Mathieu Lewin, Elliott H. Lieb, and Robert Seiringer. “Stability
Estimate for the Lane–Emden Inequality.” Calculus of Variations and Partial
Differential Equations. Springer Nature, 2025. https://doi.org/10.1007/s00526-025-03062-x.
ieee: E. Carlen, M. Lewin, E. H. Lieb, and R. Seiringer, “Stability estimate for
the Lane–Emden inequality,” Calculus of Variations and Partial Differential
Equations, vol. 64, no. 7. Springer Nature, 2025.
ista: Carlen E, Lewin M, Lieb EH, Seiringer R. 2025. Stability estimate for the
Lane–Emden inequality. Calculus of Variations and Partial Differential Equations.
64(7), 226.
mla: Carlen, Eric, et al. “Stability Estimate for the Lane–Emden Inequality.” Calculus
of Variations and Partial Differential Equations, vol. 64, no. 7, 226, Springer
Nature, 2025, doi:10.1007/s00526-025-03062-x.
short: E. Carlen, M. Lewin, E.H. Lieb, R. Seiringer, Calculus of Variations and
Partial Differential Equations 64 (2025).
date_created: 2025-08-31T22:01:31Z
date_published: 2025-09-01T00:00:00Z
date_updated: 2025-09-30T14:27:35Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00526-025-03062-x
external_id:
arxiv:
- '2410.20113'
isi:
- '001558641300006'
fulldoi: https://doi.org/10.1007/s00526-025-03062-x
intvolume: ' 64'
isi: 1
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2410.20113
month: '09'
oa: 1
oa_version: Preprint
publication: Calculus of Variations and Partial Differential Equations
publication_identifier:
eissn:
- 1432-0835
issn:
- 0944-2669
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Stability estimate for the Lane–Emden inequality
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 64
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '20495'
abstract:
- lang: eng
text: We consider a tracer particle coupled to a Bose scalar field and study the
regime where the field’s propagation speed approaches infinity. For initial states
devoid of field excitations, we introduce an effective approximation of the time-evolved
wave function and prove its validity in Hilbert space norm. In this approximation,
the field remains in the vacuum state, while the tracer particle propagates with
a modified dispersion relation. Physically, the new dispersion relation can be
understood as the effect of radiative corrections due to interactions with virtual
bosons. Mathematically, it is defined as the solution of a self-consistent nonlinear
equation, whose form depends on the relevant time scale.
acknowledgement: E.C. is deeply grateful to Robert Seiringer for his hospitality at
ISTA, without which this project would not have been possible. E.C. is thankful
to Thomas Chen for valuable comments and for pointing out useful references. E.C
gratefully acknowledges support from the Provost’s Graduate Excellence Fellowship
at The University of Texas at Austin and from the NSF grant DMS-2009549, and the
NSF grant DMS-2009800 through T. Chen. This material is based upon work supported
by the National Science Foundation under Grant No. DMS-1928930, while E.C was in
residence at the Simons Laufer Mathematical Sciences Institute in Berkeley, California,
during the Fall 2025 semester.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Esteban
full_name: Cárdenas, Esteban
last_name: Cárdenas
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
citation:
ama: Cárdenas E, Mitrouskas DJ. Radiative corrections to the dynamics of a tracer
particle coupled to a Bose ccalar field. Annales Henri Poincare. 2025.
doi:10.1007/s00023-025-01626-3
apa: Cárdenas, E., & Mitrouskas, D. J. (2025). Radiative corrections to the
dynamics of a tracer particle coupled to a Bose ccalar field. Annales Henri
Poincare. Springer Nature. https://doi.org/10.1007/s00023-025-01626-3
chicago: Cárdenas, Esteban, and David Johannes Mitrouskas. “Radiative Corrections
to the Dynamics of a Tracer Particle Coupled to a Bose Ccalar Field.” Annales
Henri Poincare. Springer Nature, 2025. https://doi.org/10.1007/s00023-025-01626-3.
ieee: E. Cárdenas and D. J. Mitrouskas, “Radiative corrections to the dynamics of
a tracer particle coupled to a Bose ccalar field,” Annales Henri Poincare.
Springer Nature, 2025.
ista: Cárdenas E, Mitrouskas DJ. 2025. Radiative corrections to the dynamics of
a tracer particle coupled to a Bose ccalar field. Annales Henri Poincare.
mla: Cárdenas, Esteban, and David Johannes Mitrouskas. “Radiative Corrections to
the Dynamics of a Tracer Particle Coupled to a Bose Ccalar Field.” Annales
Henri Poincare, Springer Nature, 2025, doi:10.1007/s00023-025-01626-3.
short: E. Cárdenas, D.J. Mitrouskas, Annales Henri Poincare (2025).
date_created: 2025-10-19T22:01:32Z
date_published: 2025-10-03T00:00:00Z
date_updated: 2025-12-01T12:56:12Z
day: '03'
department:
- _id: RoSe
doi: 10.1007/s00023-025-01626-3
external_id:
arxiv:
- '2405.05251'
isi:
- '001586237500001'
fulldoi: https://doi.org/10.1007/s00023-025-01626-3
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2405.05251
month: '10'
oa: 1
oa_version: Preprint
publication: Annales Henri Poincare
publication_identifier:
issn:
- 1424-0637
publication_status: epub_ahead
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Radiative corrections to the dynamics of a tracer particle coupled to a Bose
ccalar field
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '19548'
abstract:
- lang: eng
text: "We consider the BCS energy gap „.T / (essentially given by „.T / \x19 \x81.T;
p\x16/,\r\nthe BCS order parameter) at all temperatures 0 \x14 T \x14 Tc up to
the critical one, Tc, and show\r\nthat, in the limit of weak coupling, the ratio
„.T /=Tc is given by a universal function of the relative temperature T =Tc. On
the one hand, this recovers a recent result by Langmann and Triola\r\n[Phys. Rev.
B 108 (2023), no. 10, article no. 104503] on three-dimensional s-wave superconductors
for temperatures bounded uniformly away from Tc. On the other hand, our result
lifts these\r\nrestrictions, as we consider arbitrary spatial dimensions d 2 ¹1;
2; 3º, discuss superconductors\r\nwith non-zero angular momentum (primarily in
two dimensions), and treat the perhaps physically most interesting (due to the
occurrence of the superconducting phase transition) regime of\r\ntemperatures
close to Tc.\r\n\r\n\r\n ."
acknowledgement: "We thank Andreas Deuchert, Christian Hainzl, Edwin Langmann, Marius
Lemm, Robert Seiringer, and Jan Philip Solovej for helpful discussions,\r\nand Edwin
Langmann and Robert Seiringer for valuable comments on an earlier version of the
manuscript.\r\nFunding. Joscha Henheik gratefully acknowledges partial financial
support by the\r\nERC Advanced Grant “RMTBeyond” No. 101020331. Asbjørn Bækgaard
Lauritsen\r\ngratefully acknowledges partial financial support by the Austrian Science
Fund (FWF)\r\nthrough grant DOI 10.55776/I6427 (as part of the SFB/TRR 352).\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: Henheik SJ, Lauritsen AB. Universal behavior of the BCS energy gap. Journal
of Spectral Theory. 2025;15(1):305–352. doi:10.4171/JST/540
apa: Henheik, S. J., & Lauritsen, A. B. (2025). Universal behavior of the BCS
energy gap. Journal of Spectral Theory. EMS Press. https://doi.org/10.4171/JST/540
chicago: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “Universal Behavior
of the BCS Energy Gap.” Journal of Spectral Theory. EMS Press, 2025. https://doi.org/10.4171/JST/540.
ieee: S. J. Henheik and A. B. Lauritsen, “Universal behavior of the BCS energy gap,”
Journal of Spectral Theory, vol. 15, no. 1. EMS Press, pp. 305–352, 2025.
ista: Henheik SJ, Lauritsen AB. 2025. Universal behavior of the BCS energy gap.
Journal of Spectral Theory. 15(1), 305–352.
mla: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “Universal Behavior of
the BCS Energy Gap.” Journal of Spectral Theory, vol. 15, no. 1, EMS Press,
2025, pp. 305–352, doi:10.4171/JST/540.
short: S.J. Henheik, A.B. Lauritsen, Journal of Spectral Theory 15 (2025) 305–352.
corr_author: '1'
date_created: 2025-04-11T09:19:28Z
date_published: 2025-01-09T00:00:00Z
date_updated: 2026-07-29T13:18:17Z
day: '09'
ddc:
- '500'
department:
- _id: LaEr
- _id: RoSe
doi: 10.4171/JST/540
ec_funded: 1
external_id:
arxiv:
- '2312.11310'
isi:
- '001438931600009'
file:
- access_level: open_access
checksum: f49e06e8dba819f7ad52a202e287ebca
content_type: application/pdf
creator: cchlebak
date_created: 2025-04-11T09:13:31Z
date_updated: 2025-04-11T09:13:31Z
file_id: '19549'
file_name: Henheik_JSpectralTheory_2025.pdf
file_size: 779158
relation: main_file
success: 1
file_date_updated: 2025-04-11T09:13:31Z
fulldoi: https://doi.org/10.4171/JST/540
has_accepted_license: '1'
intvolume: ' 15'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 305–352
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
- _id: bda63fe5-d553-11ed-ba76-a16e3d2f256b
grant_number: I06427
name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Journal of Spectral Theory
publication_identifier:
eissn:
- 1664-0403
publication_status: published
publisher: EMS Press
quality_controlled: '1'
related_material:
record:
- id: '19540'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Universal behavior of the BCS energy gap
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '19372'
abstract:
- lang: eng
text: We consider the confined Fröhlich polaron and establish an asymptotic series
for the low-energy eigenvalues in negative powers of the coupling constant. The
coefficients of the series are derived through a two-fold perturbation approach,
involving expansions around the electron Pekar minimizer and the excitations of
the quantum field.
acknowledgement: M.B. gratefully acknowledges funding from the ERC Advanced Grant
ERC-AdG CLaQS, grant agreement n. 83478.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Morris
full_name: Brooks, Morris
id: B7ECF9FC-AA38-11E9-AC9A-0930E6697425
last_name: Brooks
orcid: 0000-0002-6249-0928
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
citation:
ama: Brooks M, Mitrouskas DJ. Asymptotic series for low-energy excitations of the
Fröhlich polaron at strong coupling. Probability and Mathematical Physics.
2025;6(1):281-325. doi:10.2140/pmp.2025.6.281
apa: Brooks, M., & Mitrouskas, D. J. (2025). Asymptotic series for low-energy
excitations of the Fröhlich polaron at strong coupling. Probability and Mathematical
Physics. Mathematical Sciences Publishers. https://doi.org/10.2140/pmp.2025.6.281
chicago: Brooks, Morris, and David Johannes Mitrouskas. “Asymptotic Series for Low-Energy
Excitations of the Fröhlich Polaron at Strong Coupling.” Probability and Mathematical
Physics. Mathematical Sciences Publishers, 2025. https://doi.org/10.2140/pmp.2025.6.281.
ieee: M. Brooks and D. J. Mitrouskas, “Asymptotic series for low-energy excitations
of the Fröhlich polaron at strong coupling,” Probability and Mathematical Physics,
vol. 6, no. 1. Mathematical Sciences Publishers, pp. 281–325, 2025.
ista: Brooks M, Mitrouskas DJ. 2025. Asymptotic series for low-energy excitations
of the Fröhlich polaron at strong coupling. Probability and Mathematical Physics.
6(1), 281–325.
mla: Brooks, Morris, and David Johannes Mitrouskas. “Asymptotic Series for Low-Energy
Excitations of the Fröhlich Polaron at Strong Coupling.” Probability and Mathematical
Physics, vol. 6, no. 1, Mathematical Sciences Publishers, 2025, pp. 281–325,
doi:10.2140/pmp.2025.6.281.
short: M. Brooks, D.J. Mitrouskas, Probability and Mathematical Physics 6 (2025)
281–325.
corr_author: '1'
date_created: 2025-03-09T23:01:28Z
date_published: 2025-02-23T00:00:00Z
date_updated: 2026-08-12T08:44:53Z
day: '23'
department:
- _id: RoSe
doi: 10.2140/pmp.2025.6.281
external_id:
arxiv:
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fulldoi: https://doi.org/10.2140/pmp.2025.6.281
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issue: '1'
language:
- iso: eng
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month: '02'
oa: 1
oa_version: Preprint
page: 281-325
publication: Probability and Mathematical Physics
publication_identifier:
eissn:
- 2690-1005
issn:
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publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Asymptotic series for low-energy excitations of the Fröhlich polaron at strong
coupling
type: journal_article
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...
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abstract:
- lang: eng
text: The Aharonov–Casher theorem is a result on the number of the so-called zero
modes of a system described by the magnetic Pauli operator in R2. In this paper
we address the same question for the Dirac operator on a flat two-dimensional
manifold with boundary and Atiyah–Patodi–Singer boundary condition. More concretely
we are interested in the plane and a disc with a finite number of circular holes
cut out. We consider a smooth compactly supported magnetic field on the manifold
and an arbitrary magnetic field inside the holes.
acknowledgement: "First and foremost I am grateful to Jan Philip Solovej for fruitful
meetings during (and after) my PhD programme, when this work was done. Further I
would like to thank Joshua Hunt, Anna Sisak, Jakub Löwit, Błażej Ruba, Volodymir
Riabov, Lukas Schimmer and Georgios Koutentakis for valuable discussions. Many thanks
belong to Rafael Benguria for hosting my visit, during which some of the work has
been done. I am also grateful to Marina Prokhorova who first initiated the discussion
of this project topic and to Annemarie Luger for her valuable comments during my
PhD defence and in particular pointing out the qualitative difference in our two
main results. I would like to acknowledge support for research on this paper from
VILLUM FONDEN through the QMATH Centre of Excellence grant. nr. 10059. This project
also received funding from the European Union’s Horizon 2020 research and innovation
programme under the Marie Skłodowska-Curie grant agreement No 101034413. I am grateful
to the two reviewers for reading carefully my manuscript and pointing out several
issues contributing thus significantly to the readability and clarity of this paper.\r\nOpen
access funding provided by Institute of Science and Technology (IST Austria)."
article_processing_charge: Yes (via OA deal)
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author:
- first_name: Marie
full_name: Fialova, Marie
id: e9c9844d-9e21-11ec-b482-f96fc09f7c4d
last_name: Fialova
citation:
ama: Fialova M. Aharonov–Casher theorems for Dirac operators on manifolds with boundary
and APS boundary condition. Annales Henri Poincare. 2025;26:2859-2900.
doi:10.1007/s00023-024-01482-7
apa: Fialova, M. (2025). Aharonov–Casher theorems for Dirac operators on manifolds
with boundary and APS boundary condition. Annales Henri Poincare. Springer
Nature. https://doi.org/10.1007/s00023-024-01482-7
chicago: Fialova, Marie. “Aharonov–Casher Theorems for Dirac Operators on Manifolds
with Boundary and APS Boundary Condition.” Annales Henri Poincare. Springer
Nature, 2025. https://doi.org/10.1007/s00023-024-01482-7.
ieee: M. Fialova, “Aharonov–Casher theorems for Dirac operators on manifolds with
boundary and APS boundary condition,” Annales Henri Poincare, vol. 26.
Springer Nature, pp. 2859–2900, 2025.
ista: Fialova M. 2025. Aharonov–Casher theorems for Dirac operators on manifolds
with boundary and APS boundary condition. Annales Henri Poincare. 26, 2859–2900.
mla: Fialova, Marie. “Aharonov–Casher Theorems for Dirac Operators on Manifolds
with Boundary and APS Boundary Condition.” Annales Henri Poincare, vol.
26, Springer Nature, 2025, pp. 2859–900, doi:10.1007/s00023-024-01482-7.
short: M. Fialova, Annales Henri Poincare 26 (2025) 2859–2900.
corr_author: '1'
das_tickbox: '0'
date_created: 2024-09-15T22:01:42Z
date_published: 2025-08-01T00:00:00Z
date_updated: 2026-09-17T11:06:35Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00023-024-01482-7
ec_funded: 1
external_id:
arxiv:
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isi:
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isi: 1
language:
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oa: 1
oa_version: Published Version
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call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: Annales Henri Poincare
publication_identifier:
issn:
- 1424-0637
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
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supplementarymaterial: yes
title: Aharonov–Casher theorems for Dirac operators on manifolds with boundary and
APS boundary condition
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
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OA_place: publisher
OA_type: hybrid
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_id: '17240'
abstract:
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text: We prove an upper bound on the energy density of the dilute spin-\(\frac {1}{2}\)
Fermi gas capturing the leading correction to the kinetic energy\(8\pi a\rho _\uparrow\rho
_\downarrow\) with an error of size smaller than\(a\rho^{2}(a^ 3\rho)^{1/3-\varepsilon}\)
for any\(\varepsilon> 0\), where a denotes the scattering length of the interaction.
The result is valid for a large class of interactions including interactions with
a hard core. A central ingredient in the proof is a rigorous version of a fermionic
cluster expansion adapted from the formal expansion of Gaudin et al. (Nucl Phys
A 176(2):237–260, 1971. https://doi.org/10.1016/0375-9474(71)90267-3).
acknowledgement: "Open access funding provided by Institute of Science and Technology
(IST Austria).\r\nWe thank Alessandro Giuliani and Robert Seiringer for helpful
discussions and Robert Seiringer for his comments on the manuscript. Financial support
by the Austrian Science Fund (FWF) through Grant https://doi.org/10.55776/I6427
(as part of the SFB/TRR 352) is gratefully acknowledged."
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: Lauritsen AB. Almost optimal upper bound for the ground state energy of a dilute
Fermi gas via cluster expansion. Annales Henri Poincare. 2025;26:203-243.
doi:10.1007/s00023-024-01450-1
apa: Lauritsen, A. B. (2025). Almost optimal upper bound for the ground state energy
of a dilute Fermi gas via cluster expansion. Annales Henri Poincare. Springer
Nature. https://doi.org/10.1007/s00023-024-01450-1
chicago: Lauritsen, Asbjørn Bækgaard. “Almost Optimal Upper Bound for the Ground
State Energy of a Dilute Fermi Gas via Cluster Expansion.” Annales Henri Poincare.
Springer Nature, 2025. https://doi.org/10.1007/s00023-024-01450-1.
ieee: A. B. Lauritsen, “Almost optimal upper bound for the ground state energy of
a dilute Fermi gas via cluster expansion,” Annales Henri Poincare, vol.
26. Springer Nature, pp. 203–243, 2025.
ista: Lauritsen AB. 2025. Almost optimal upper bound for the ground state energy
of a dilute Fermi gas via cluster expansion. Annales Henri Poincare. 26, 203–243.
mla: Lauritsen, Asbjørn Bækgaard. “Almost Optimal Upper Bound for the Ground State
Energy of a Dilute Fermi Gas via Cluster Expansion.” Annales Henri Poincare,
vol. 26, Springer Nature, 2025, pp. 203–43, doi:10.1007/s00023-024-01450-1.
short: A.B. Lauritsen, Annales Henri Poincare 26 (2025) 203–243.
corr_author: '1'
das_tickbox: '0'
date_created: 2024-07-14T22:01:12Z
date_published: 2025-01-01T00:00:00Z
date_updated: 2026-10-02T11:43:00Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00023-024-01450-1
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isi:
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pmid:
- '39926012'
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oa_version: Published Version
page: 203-243
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- _id: bda63fe5-d553-11ed-ba76-a16e3d2f256b
grant_number: I06427
name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Annales Henri Poincare
publication_identifier:
issn:
- 1424-0637
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
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supplementarymaterial: no
title: Almost optimal upper bound for the ground state energy of a dilute Fermi gas
via cluster expansion
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
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...