---
_id: '13178'
abstract:
- lang: eng
  text: We consider the large polaron described by the Fröhlich Hamiltonian and study
    its energy-momentum relation defined as the lowest possible energy as a function
    of the total momentum. Using a suitable family of trial states, we derive an optimal
    parabolic upper bound for the energy-momentum relation in the limit of strong
    coupling. The upper bound consists of a momentum independent term that agrees
    with the predicted two-term expansion for the ground state energy of the strongly
    coupled polaron at rest and a term that is quadratic in the momentum with coefficient
    given by the inverse of twice the classical effective mass introduced by Landau
    and Pekar.
acknowledgement: This research was supported by the European Research Council (ERC)
  under the European Union’s Horizon 2020 research and innovation programme grant
  agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie grant agreement No. 665386
  (K.M.).
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: David Johannes
  full_name: Mitrouskas, David Johannes
  id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
  last_name: Mitrouskas
- first_name: Krzysztof
  full_name: Mysliwy, Krzysztof
  id: 316457FC-F248-11E8-B48F-1D18A9856A87
  last_name: Mysliwy
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Mitrouskas DJ, Mysliwy K, Seiringer R. Optimal parabolic upper bound for the
    energy-momentum relation of a strongly coupled polaron. <i>Forum of Mathematics</i>.
    2023;11:1-52. doi:<a href="https://doi.org/10.1017/fms.2023.45">10.1017/fms.2023.45</a>
  apa: Mitrouskas, D. J., Mysliwy, K., &#38; Seiringer, R. (2023). Optimal parabolic
    upper bound for the energy-momentum relation of a strongly coupled polaron. <i>Forum
    of Mathematics</i>. Cambridge University Press. <a href="https://doi.org/10.1017/fms.2023.45">https://doi.org/10.1017/fms.2023.45</a>
  chicago: Mitrouskas, David Johannes, Krzysztof Mysliwy, and Robert Seiringer. “Optimal
    Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.”
    <i>Forum of Mathematics</i>. Cambridge University Press, 2023. <a href="https://doi.org/10.1017/fms.2023.45">https://doi.org/10.1017/fms.2023.45</a>.
  ieee: D. J. Mitrouskas, K. Mysliwy, and R. Seiringer, “Optimal parabolic upper bound
    for the energy-momentum relation of a strongly coupled polaron,” <i>Forum of Mathematics</i>,
    vol. 11. Cambridge University Press, pp. 1–52, 2023.
  ista: Mitrouskas DJ, Mysliwy K, Seiringer R. 2023. Optimal parabolic upper bound
    for the energy-momentum relation of a strongly coupled polaron. Forum of Mathematics.
    11, 1–52.
  mla: Mitrouskas, David Johannes, et al. “Optimal Parabolic Upper Bound for the Energy-Momentum
    Relation of a Strongly Coupled Polaron.” <i>Forum of Mathematics</i>, vol. 11,
    Cambridge University Press, 2023, pp. 1–52, doi:<a href="https://doi.org/10.1017/fms.2023.45">10.1017/fms.2023.45</a>.
  short: D.J. Mitrouskas, K. Mysliwy, R. Seiringer, Forum of Mathematics 11 (2023)
    1–52.
corr_author: '1'
date_created: 2023-07-02T22:00:43Z
date_published: 2023-06-13T00:00:00Z
date_updated: 2025-04-14T07:26:58Z
day: '13'
ddc:
- '500'
department:
- _id: RoSe
doi: 10.1017/fms.2023.45
ec_funded: 1
external_id:
  arxiv:
  - '2203.02454'
  isi:
  - '001005008800001'
file:
- access_level: open_access
  checksum: f672eb7dd015c472c9a04f1b9bf9df7d
  content_type: application/pdf
  creator: alisjak
  date_created: 2023-07-03T10:36:25Z
  date_updated: 2023-07-03T10:36:25Z
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  file_name: 2023_ForumofMathematics.Sigma_Mitrouskas.pdf
  file_size: 943192
  relation: main_file
  success: 1
file_date_updated: 2023-07-03T10:36:25Z
fulldoi: https://doi.org/10.1017/fms.2023.45
has_accepted_license: '1'
intvolume: '        11'
isi: 1
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 1-52
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
publication: Forum of Mathematics
publication_identifier:
  eissn:
  - 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal parabolic upper bound for the energy-momentum relation of a strongly
  coupled 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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 11
year: '2023'
...