Renewal approach for the energy–momentum relation of the Fröhlich polaron

We study the qualitative behaviour of the energy–momentum relation of the Fröhlich polaron at fixed coupling strength. Among other properties, we show that it is non-decreasing and that the correction to the quasi-particle energy is negative. We give a proof that the effective mass lies in [Formula:...

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Autor principal: Polzer, Steffen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10435608/
https://www.ncbi.nlm.nih.gov/pubmed/37601030
http://dx.doi.org/10.1007/s11005-023-01711-w
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author Polzer, Steffen
author_facet Polzer, Steffen
author_sort Polzer, Steffen
collection PubMed
description We study the qualitative behaviour of the energy–momentum relation of the Fröhlich polaron at fixed coupling strength. Among other properties, we show that it is non-decreasing and that the correction to the quasi-particle energy is negative. We give a proof that the effective mass lies in [Formula: see text] that does not need the validity of a central limit theorem for the path measure.
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spelling pubmed-104356082023-08-19 Renewal approach for the energy–momentum relation of the Fröhlich polaron Polzer, Steffen Lett Math Phys Article We study the qualitative behaviour of the energy–momentum relation of the Fröhlich polaron at fixed coupling strength. Among other properties, we show that it is non-decreasing and that the correction to the quasi-particle energy is negative. We give a proof that the effective mass lies in [Formula: see text] that does not need the validity of a central limit theorem for the path measure. Springer Netherlands 2023-08-18 2023 /pmc/articles/PMC10435608/ /pubmed/37601030 http://dx.doi.org/10.1007/s11005-023-01711-w Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Polzer, Steffen
Renewal approach for the energy–momentum relation of the Fröhlich polaron
title Renewal approach for the energy–momentum relation of the Fröhlich polaron
title_full Renewal approach for the energy–momentum relation of the Fröhlich polaron
title_fullStr Renewal approach for the energy–momentum relation of the Fröhlich polaron
title_full_unstemmed Renewal approach for the energy–momentum relation of the Fröhlich polaron
title_short Renewal approach for the energy–momentum relation of the Fröhlich polaron
title_sort renewal approach for the energy–momentum relation of the fröhlich polaron
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10435608/
https://www.ncbi.nlm.nih.gov/pubmed/37601030
http://dx.doi.org/10.1007/s11005-023-01711-w
work_keys_str_mv AT polzersteffen renewalapproachfortheenergymomentumrelationofthefrohlichpolaron

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