Published April 2013
| Version Published + Submitted
Journal Article
Open
Symmetry of Bipolaron Bound States for Small Coulomb Repulsion
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1.
Princeton University
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2.
McGill University
Abstract
We consider the bipolaron in the Pekar–Tomasevich approximation and address the question whether the ground state is spherically symmetric or not. Numerical analysis has, so far, not completely settled the question. Our contribution is to prove rigorously that the ground state remains spherical for small values of the electron-electron Coulomb repulsion.
Additional Information
© 2012 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. We are grateful to Herbert Spohn for making us aware of this problem. We also thank the referees for important suggestions. Partial financial support from the U.S. National Science Foundation through grants PHY-1068285 (R.F.), PHY-0965859 (E.L.) and the NSERC (R.S.) is acknowledged.Attached Files
Published - art_3A10.1007_2Fs00220-012-1604-y.pdf
Submitted - 1201.3954.pdf
Files
1201.3954.pdf
Additional details
Identifiers
- Eprint ID
- 77131
- Resolver ID
- CaltechAUTHORS:20170502-144700862
Related works
- Describes
- https://arxiv.org/abs/1201.3954 (URL)
Funding
- NSF
- PHY-1068285
- NSF
- PHY-0965859
- Natural Sciences and Engineering Research Council of Canada (NSERC)
Dates
- Created
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2017-05-02Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
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- Caltech groups
- Mathematics Department