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Symmetry of Bipolaron Bound States for Small Coulomb Repulsion

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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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Authors and Affiliations

  1. Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA

    Rupert L. Frank

  2. Departments of Mathematics and Physics, Princeton University, Princeton, NJ, 08544, USA

    Elliott H. Lieb

  3. Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, QC, H3A 2K6, Canada

    Robert Seiringer

Authors
  1. Rupert L. Frank
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  2. Elliott H. Lieb
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  3. Robert Seiringer
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Correspondence to Elliott H. Lieb.

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Communicated by H. Spohn

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Frank, R.L., Lieb, E.H. & Seiringer, R. Symmetry of Bipolaron Bound States for Small Coulomb Repulsion. Commun. Math. Phys. 319, 557–573 (2013). https://doi.org/10.1007/s00220-012-1604-y

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  • DOI: https://doi.org/10.1007/s00220-012-1604-y

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