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Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs

By Christian Hainzl and Robert Seiringer

Abstract

We consider the low density limit of a Fermi gas in the BCS approximation. We show that if the interaction potential allows for a two-particle bound state, the system at zero temperature is well approximated by the Gross-Pitaevskii functional, describing a Bose-Einstein condensate of fermion pairs.Comment: LaTeX2e, 17 page

Topics: Mathematical Physics, Condensed Matter - Quantum Gases
Year: 2011
DOI identifier: 10.1007/s11005-011-0535-4
OAI identifier: oai:arXiv.org:1105.1100
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