# Symmetry of bipolaron bound states for small Coulomb repulsion

Frank R, Lieb É, Seiringer R. 2013. Symmetry of bipolaron bound states for small Coulomb repulsion. Communications in Mathematical Physics. 319(2), 557–573.

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Author

Frank, Rupert L;
Lieb, Élliott H;
Seiringer, Robert

^{ISTA}^{}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.

Publishing Year

Date Published

2013-04-01

Journal Title

Communications in Mathematical Physics

Volume

319

Issue

2

Page

557 - 573

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### Cite this

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-yFrank, 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-yFrank, 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.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.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.**All files available under the following license(s):**

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