Symmetry of Bipolaron Bound States for Small Coulomb Repulsion

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

doi:10.1007/s00220-012-1604-y

Symmetry of Bipolaron Bound States for Small Coulomb Repulsion

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

Mathematics

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5 Scopus citations

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.

Original language	English (US)
Pages (from-to)	557-573
Number of pages	17
Journal	Communications In Mathematical Physics
Volume	319
Issue number	2
DOIs	https://doi.org/10.1007/s00220-012-1604-y
State	Published - Apr 2013

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-012-1604-y

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title = "Symmetry of Bipolaron Bound States for Small Coulomb Repulsion",

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.",

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AU - Lieb, Elliott H.

AU - Seiringer, Robert

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N2 - 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.

AB - 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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VL - 319

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EP - 573

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

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ER -

Symmetry of Bipolaron Bound States for Small Coulomb Repulsion

Abstract

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