Published September 17, 2012 | Version Submitted
Discussion Paper Open

Ground state properties of multi-polaron systems

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.

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.

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Identifiers

Eprint ID
77222
Resolver ID
CaltechAUTHORS:20170505-111204119

Related works

Funding

NSF
PHY-1068285
NSF
PHY-0965859
Simons Foundation
230207
Natural Sciences and Engineering Research Council of Canada (NSERC)
University of British Columbia

Dates

Created
2017-05-05
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Updated
2023-06-02
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Mathematics Department