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.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics