Published March 2021
| Accepted Version + Published
Journal Article
Open
Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron
- Creators
-
Frank, Rupert L.
- Seiringer, Robert
Abstract
We consider the Fröhlich polaron model in the strong coupling limit. It is well‐known that to leading order the ground state energy is given by the (classical) Pekar energy. In this work, we establish the subleading correction, describing quantum fluctuation about the classical limit. Our proof applies to a model of a confined polaron, where both the electron and the polarization field are restricted to a set of finite volume, with linear size determined by the natural length scale of the Pekar problem.
Additional Information
© 2020 The Authors. Communications on Pure and Applied Mathematics published by Wiley Periodicals, Inc. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. Issue Online: 17 January 2021; Version of Record online: 28 September 2020. Partial support through National Science Foundation Grant DMS-1363432 (R.L.F.) and the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No 694227; R.S.), is acknowledged.Attached Files
Published - cpa.21944.pdf
Accepted Version - 1902.02489.pdf
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cpa.21944.pdf
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Additional details
- Eprint ID
- 105620
- Resolver ID
- CaltechAUTHORS:20200928-152152135
- DMS-1363432
- NSF
- 694227
- European Research Council (ERC)
- Created
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2020-09-28Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field