Published 2017
| Submitted + Published
Journal Article
Open
Derivation of an effective evolution equation for a strongly coupled polaron
- Creators
-
Frank, Rupert L.
- Zhou, Gang
Chicago
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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.
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.Attached Files
Published - apde-v10-n2-p06-s.pdf
Submitted - 1505.03059
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Additional details
- Eprint ID
- 76974
- Resolver ID
- CaltechAUTHORS:20170427-075023929
- NSF
- PHY–1347399
- NSF
- DMS–1363432
- NSF
- DMS–1308985
- NSF
- DMS–1443225
- Created
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2017-04-27Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field