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Derivation of an effective evolution equation for a strongly coupled polaron

Frank, Rupert L. and Zhou, Gang (2017) Derivation of an effective evolution equation for a strongly coupled polaron. Analysis & PDE, 10 (2). pp. 379-422. ISSN 2157-5045. https://resolver.caltech.edu/CaltechAUTHORS:20170427-075023929

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Abstract

Fröhlich’s polaron Hamiltonian describes an electron coupled to the quantized phonon field of an ionic crystal. We show that in the strong coupling limit the dynamics of the polaron are approximated by an effective nonlinear partial differential equation due to Landau and Pekar, in which the phonon field is treated as a classical field.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.2140/apde.2017.10.379DOIArticle
http://msp.org/apde/2017/10-2/p06.xhtmlPublisherArticle
https://arxiv.org/abs/1505.03059arXivDiscussion Paper
Additional Information:© 2017 Mathematical Sciences Publishers. Received: 30 June 2016. Accepted: 28 November 2016. Published: 23 February 2017. The authors are grateful to J. Fröhlich, M. Lewin, B. Schlein and R. Seiringer for their helpful remarks at various stages of this project, as well as to the anonymous referees who helped improve this paper. Support through NSF grants PHY–1347399 and DMS–1363432 (R.L.F.) and DMS–1308985 and DMS–1443225 (Z.G.) is acknowledged.
Funders:
Funding AgencyGrant Number
NSFPHY–1347399
NSFDMS–1363432
NSFDMS–1308985
NSFDMS–1443225
Subject Keywords:polaron, dynamics, quantized field
Issue or Number:2
Classification Code:MSC2010: 35Q40, 46N50
Record Number:CaltechAUTHORS:20170427-075023929
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170427-075023929
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:76974
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:27 Apr 2017 16:44
Last Modified:03 Oct 2019 17:52

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