Symmetry of bipolaron bound states for small Coulomb repulsion

Details Symmetry of bipolaron bound states for small Coulomb repulsion Symmetry of bipolaron bound states for small Coulomb repulsion

2012-01-19

arxiv.org/abs/1201.3954v1

Physics

Mathematical Physics

17 pages

Scientific paper

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.

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