---
_id: '2405'
abstract:
- lang: eng
text: 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.
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank R, Lieb É, Seiringer R. Symmetry of bipolaron bound states for small
Coulomb repulsion. Communications in Mathematical Physics. 2013;319(2):557-573.
doi:10.1007/s00220-012-1604-y
apa: Frank, R., Lieb, É., & Seiringer, R. (2013). Symmetry of bipolaron bound
states for small Coulomb repulsion. Communications in Mathematical Physics.
Springer. https://doi.org/10.1007/s00220-012-1604-y
chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Symmetry of Bipolaron
Bound States for Small Coulomb Repulsion.” Communications in Mathematical Physics.
Springer, 2013. https://doi.org/10.1007/s00220-012-1604-y.
ieee: R. Frank, É. Lieb, and R. Seiringer, “Symmetry of bipolaron bound states for
small Coulomb repulsion,” Communications in Mathematical Physics, vol.
319, no. 2. Springer, pp. 557–573, 2013.
ista: Frank R, Lieb É, Seiringer R. 2013. Symmetry of bipolaron bound states for
small Coulomb repulsion. Communications in Mathematical Physics. 319(2), 557–573.
mla: Frank, Rupert, et al. “Symmetry of Bipolaron Bound States for Small Coulomb
Repulsion.” Communications in Mathematical Physics, vol. 319, no. 2, Springer,
2013, pp. 557–73, doi:10.1007/s00220-012-1604-y.
short: R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 319
(2013) 557–573.
date_created: 2018-12-11T11:57:28Z
date_published: 2013-04-01T00:00:00Z
date_updated: 2021-01-12T06:57:17Z
day: '01'
doi: 10.1007/s00220-012-1604-y
extern: 1
intvolume: ' 319'
issue: '2'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1201.3954
month: '04'
oa: 1
page: 557 - 573
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4522'
quality_controlled: 0
status: public
title: Symmetry of bipolaron bound states for small Coulomb repulsion
type: journal_article
volume: 319
year: '2013'
...