### Abstract

The last unsolved problem about the many-polaron system, in the Pekar"Tomasevich approximation, is the case of bosons with the electron-electron Coulomb repulsion of strength exactly 1 (the "neutral case"). We prove that the ground state energy, for large N, goes exactly as -N^{7/5}, and we give upper and lower bounds on the asymptotic coefficient that agree to within a factor of 2^{2/5}.

Original language | English (US) |
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Article number | 021901 |

Journal | Journal of Mathematical Physics |

Volume | 56 |

Issue number | 2 |

DOIs | |

State | Published - Feb 18 2015 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Benguria, R. D., Frank, R. L., & Lieb, E. H. (2015). Ground state energy of large polaron systems.

*Journal of Mathematical Physics*,*56*(2), [021901]. https://doi.org/10.1063/1.4908125