%0 Journal Article
%T The bipolaron in the strong coupling limit
%A T. Miyao
%A H. Spohn
%J Mathematics
%D 2006
%I arXiv
%R 10.1007/s00023-007-0337-5
%X The bipolaron are two electrons coupled to the elastic deformations of an ionic crystal. We study this system in the Fr\"{o}hlich approximation. If the Coulomb repulsion dominates, the lowest energy states are two well separated polarons. Otherwise the electrons form a bound pair. We prove the validity of the Pekar-Tomasevich energy functional in the strong coupling limit, yielding estimates on the coupling parameters for which the binding energy is strictly positive. Under the condition of a strictly positive binding energy we prove the existence of a ground state at fixed total momentum $P$, provided $P$ is not too large.
%U http://arxiv.org/abs/math-ph/0612035v1