CaltechAUTHORS
  A Caltech Library Service

Dynamics of a Strongly Coupled Polaron

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

[img]
Preview
PDF - Published Version
See Usage Policy.

207Kb
[img]
Preview
PDF - Submitted Version
See Usage Policy.

185Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20140708-142118299

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/s11005-014-0700-7DOIArticle
http://link.springer.com/article/10.1007%2Fs11005-014-0700-7PublisherArticle
http://arxiv.org/abs/1311.5814arXivDiscussion Paper
http://rdcu.be/rF5hPublisherFree ReadCube access
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.
Funders:
Funding AgencyGrant Number
NSFPHY-1347399
European Research Council (ERC)MAQD-240518
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:03 Oct 2019 06:49

Repository Staff Only: item control page