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The bipolaron in the strong coupling limit | | T. Miyao
; H. Spohn
; | | Date: |
12 Dec 2006 | | Subject: | Mathematical Physics; Functional Analysis | | Abstract: | 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. | | Source: | arXiv, math-ph/0612035 | | Services: | Forum | Review | PDF | Favorites | |
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