Symmetry of Bipolaron Bound States for Small Coulomb Repulsion

Rupert L. Frank, Elliott H. Lieb, Robert Seiringer

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)557-573
Number of pages17
JournalCommunications In Mathematical Physics
Issue number2
StatePublished - Apr 2013

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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