--- res: bibo_abstract: - We prove an adiabatic theorem for the Landau–Pekar equations. This allows us to derive new results on the accuracy of their use as effective equations for the time evolution generated by the Fröhlich Hamiltonian with large coupling constant α. In particular, we show that the time evolution of Pekar product states with coherent phonon field and the electron being trapped by the phonons is well approximated by the Landau–Pekar equations until times short compared to α2.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Nikolai K foaf_name: Leopold, Nikolai K foaf_surname: Leopold foaf_workInfoHomepage: http://www.librecat.org/personId=4BC40BEC-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-0495-6822 - foaf_Person: foaf_givenName: Simone Anna Elvira foaf_name: Rademacher, Simone Anna Elvira foaf_surname: Rademacher foaf_workInfoHomepage: http://www.librecat.org/personId=856966FE-A408-11E9-977E-802DE6697425 orcid: 0000-0001-5059-4466 - foaf_Person: foaf_givenName: Benjamin foaf_name: Schlein, Benjamin foaf_surname: Schlein - foaf_Person: foaf_givenName: Robert foaf_name: Seiringer, Robert foaf_surname: Seiringer foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-6781-0521 bibo_doi: 10.2140/APDE.2021.14.2079 bibo_issue: '7' bibo_volume: 14 dct_date: 2021^xs_gYear dct_identifier: - UT:000733976600004 dct_isPartOf: - http://id.crossref.org/issn/2157-5045 - http://id.crossref.org/issn/1948-206X dct_language: eng dct_publisher: Mathematical Sciences Publishers@ dct_title: ' The Landau–Pekar equations: Adiabatic theorem and accuracy@' ...