Frank, Rupert L. and Schlein, Benjamin (2014) Dynamics of a Strongly Coupled Polaron. Letters in Mathematical Physics, 104 (8). pp. 911-929. ISSN 0377-9017. https://resolver.caltech.edu/CaltechAUTHORS:20140708-142118299
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Abstract
We study the dynamics of large polarons described by the Fröhlich Hamiltonian in the limit of strong coupling. The initial conditions are (perturbations of) product states of an electron wave function and a phonon coherent state, as suggested by Pekar. We show that, to leading order on the natural time scale of the problem, the phonon field is stationary and the electron moves according to an effective linear Schrödinger equation.
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| Additional Information: | © 2014 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. Received: 23 November 2013; Revised: 24 March 2014; Accepted: 15 April 2014. U.S. National Science Foundation grant PHY-1347399 (R.F.) and ERC Starting Grant MAQD-240518 (B.S.) are acknowledged. | |||||||||||||||
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| Subject Keywords: | polaron, dynamics, Schrödinger operator, quantized field | |||||||||||||||
| Issue or Number: | 8 | |||||||||||||||
| Record Number: | CaltechAUTHORS:20140708-142118299 | |||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20140708-142118299 | |||||||||||||||
| Official Citation: | Frank, R.L. & Schlein, B. Lett Math Phys (2014) 104: 911. doi:10.1007/s11005-014-0700-7 | |||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||||||||
| ID Code: | 47080 | |||||||||||||||
| Collection: | CaltechAUTHORS | |||||||||||||||
| Deposited By: | Joanne McCole | |||||||||||||||
| Deposited On: | 08 Jul 2014 22:02 | |||||||||||||||
| Last Modified: | 09 Mar 2020 13:18 |
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