---
_id: '9225'
abstract:
- lang: eng
  text: "The Landau–Pekar equations describe the dynamics of a strongly coupled polaron.\r\nHere,
    we provide a class of initial data for which the associated effective Hamiltonian\r\nhas
    a uniform spectral gap for all times. For such initial data, this allows us to
    extend the\r\nresults on the adiabatic theorem for the Landau–Pekar equations
    and their derivation\r\nfrom the Fröhlich model obtained in previous works to
    larger times."
acknowledgement: Funding from the European Union’s Horizon 2020 research and innovation
  programme under the ERC Grant Agreement No 694227 (D.F. and R.S.) and under the
  Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged.
  Open Access funding provided by Institute of Science and Technology (IST Austria)
article_number: '19'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Dario
  full_name: Feliciangeli, Dario
  id: 41A639AA-F248-11E8-B48F-1D18A9856A87
  last_name: Feliciangeli
  orcid: 0000-0003-0754-8530
- first_name: Simone Anna Elvira
  full_name: Rademacher, Simone Anna Elvira
  id: 856966FE-A408-11E9-977E-802DE6697425
  last_name: Rademacher
  orcid: 0000-0001-5059-4466
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Feliciangeli D, Rademacher SAE, Seiringer R. Persistence of the spectral gap
    for the Landau–Pekar equations. <i>Letters in Mathematical Physics</i>. 2021;111.
    doi:<a href="https://doi.org/10.1007/s11005-020-01350-5">10.1007/s11005-020-01350-5</a>
  apa: Feliciangeli, D., Rademacher, S. A. E., &#38; Seiringer, R. (2021). Persistence
    of the spectral gap for the Landau–Pekar equations. <i>Letters in Mathematical
    Physics</i>. Springer Nature. <a href="https://doi.org/10.1007/s11005-020-01350-5">https://doi.org/10.1007/s11005-020-01350-5</a>
  chicago: Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer.
    “Persistence of the Spectral Gap for the Landau–Pekar Equations.” <i>Letters in
    Mathematical Physics</i>. Springer Nature, 2021. <a href="https://doi.org/10.1007/s11005-020-01350-5">https://doi.org/10.1007/s11005-020-01350-5</a>.
  ieee: D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “Persistence of the
    spectral gap for the Landau–Pekar equations,” <i>Letters in Mathematical Physics</i>,
    vol. 111. Springer Nature, 2021.
  ista: Feliciangeli D, Rademacher SAE, Seiringer R. 2021. Persistence of the spectral
    gap for the Landau–Pekar equations. Letters in Mathematical Physics. 111, 19.
  mla: Feliciangeli, Dario, et al. “Persistence of the Spectral Gap for the Landau–Pekar
    Equations.” <i>Letters in Mathematical Physics</i>, vol. 111, 19, Springer Nature,
    2021, doi:<a href="https://doi.org/10.1007/s11005-020-01350-5">10.1007/s11005-020-01350-5</a>.
  short: D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical
    Physics 111 (2021).
date_created: 2021-03-07T23:01:25Z
date_published: 2021-02-11T00:00:00Z
date_updated: 2026-04-08T06:59:49Z
day: '11'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s11005-020-01350-5
ec_funded: 1
external_id:
  isi:
  - '000617195700001'
file:
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  creator: dernst
  date_created: 2021-03-09T11:44:34Z
  date_updated: 2021-03-09T11:44:34Z
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isi: 1
language:
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month: '02'
oa: 1
oa_version: Published Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Letters in Mathematical Physics
publication_identifier:
  eissn:
  - 1573-0530
  issn:
  - 0377-9017
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
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  - id: '9733'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Persistence of the spectral gap for the Landau–Pekar equations
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: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 111
year: '2021'
...