Ground state energy of large polaron systems

Rafael D. Benguria, Rupert L. Frank, Elliott H. Lieb

Research output: Contribution to journalArticle


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 -N7/5, and we give upper and lower bounds on the asymptotic coefficient that agree to within a factor of 22/5.

Original languageEnglish (US)
Article number021901
JournalJournal of Mathematical Physics
Issue number2
StatePublished - Feb 18 2015

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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    Benguria, R. D., Frank, R. L., & Lieb, E. H. (2015). Ground state energy of large polaron systems. Journal of Mathematical Physics, 56(2), [021901].