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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. doi:10.2140/apde.2017.10.379.

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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
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URLURL TypeDescription Paper
Frank, Rupert L.0000-0001-7973-4688
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.
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Subject Keywords:polaron, dynamics, quantized field
Issue or Number:2
Classification Code:MSC2010: 35Q40, 46N50
Record Number:CaltechAUTHORS:20170427-075023929
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:76974
Deposited By: Ruth Sustaita
Deposited On:27 Apr 2017 16:44
Last Modified:15 Nov 2021 17:04

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