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Ground state properties of multi-polaron systems

Frank, Rupert L. and Lieb, Elliott H. and Seiringer, Robert and Thomas, Lawrence E. (2012) Ground state properties of multi-polaron systems. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20170505-111204119

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Abstract

We summarize our recent results on the ground state energy of multi-polaron systems. In particular, we discuss stability and existence of the thermodynamic limit, and we discuss the absence of binding in the case of large Coulomb repulsion and the corresponding binding–unbinding transition. We also consider the Pekar-Tomasevich approximation to the ground state energy and we study radial symmetry of the ground state density.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/1209.3717arXivArticle
Additional Information:© 2012 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. Submitted on 17 Sep 2012. Partial financial support from the U.S. National Science Foundation through grants PHY-1068285 (R.F.), PHY-0965859 (E.L.), the Simons Foundation (# 230207, E.L.) and the NSERC (R.S.) is acknowledged. L.T. would like to thank the PIMS Institute, University of British Columbia, for their hospitality and support. We are grateful to Herbert Spohn for stimulating our interest.
Funders:
Funding AgencyGrant Number
NSFPHY-1068285
NSFPHY-0965859
Simons Foundation230207
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
University of British ColumbiaUNSPECIFIED
Subject Keywords:Polaron, binding energies, stability, Coulomb system
Record Number:CaltechAUTHORS:20170505-111204119
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170505-111204119
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77222
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:05 May 2017 19:21
Last Modified:05 May 2017 19:21

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