4.6 Article

Symmetry of Bipolaron Bound States for Small Coulomb Repulsion

Journal

COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 319, Issue 2, Pages 557-573

Publisher

SPRINGER
DOI: 10.1007/s00220-012-1604-y

Keywords

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Funding

  1. U.S. National Science Foundation [PHY-1068285, PHY-0965859]
  2. NSERC
  3. Division Of Physics
  4. Direct For Mathematical & Physical Scien [1068285] Funding Source: National Science Foundation

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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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