{"publication":"Forum of Mathematics","ec_funded":1,"doi":"10.1017/fms.2023.45","language":[{"iso":"eng"}],"year":"2023","day":"13","date_updated":"2023-11-02T12:30:50Z","article_type":"original","publication_identifier":{"eissn":["2050-5094"]},"intvolume":"        11","abstract":[{"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.","lang":"eng"}],"publisher":"Cambridge University Press","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","oa":1,"external_id":{"isi":["001005008800001"],"arxiv":["2203.02454"]},"has_accepted_license":"1","oa_version":"Published Version","page":"1-52","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"isi":1,"license":"https://creativecommons.org/licenses/by/4.0/","department":[{"_id":"RoSe"}],"article_processing_charge":"Yes","ddc":["500"],"type":"journal_article","_id":"13178","file":[{"access_level":"open_access","checksum":"f672eb7dd015c472c9a04f1b9bf9df7d","file_name":"2023_ForumofMathematics.Sigma_Mitrouskas.pdf","creator":"alisjak","content_type":"application/pdf","success":1,"date_updated":"2023-07-03T10:36:25Z","date_created":"2023-07-03T10:36:25Z","file_id":"13186","file_size":943192,"relation":"main_file"}],"status":"public","quality_controlled":"1","publication_status":"published","volume":11,"citation":{"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>.","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>","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.","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.","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>","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>.","short":"D.J. Mitrouskas, K. Mysliwy, R. Seiringer, Forum of Mathematics 11 (2023) 1–52."},"month":"06","author":[{"last_name":"Mitrouskas","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes"},{"id":"316457FC-F248-11E8-B48F-1D18A9856A87","last_name":"Mysliwy","first_name":"Krzysztof","full_name":"Mysliwy, Krzysztof"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"date_published":"2023-06-13T00:00:00Z","title":"Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron","project":[{"call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"scopus_import":"1","file_date_updated":"2023-07-03T10:36:25Z","date_created":"2023-07-02T22:00:43Z","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.)."}