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

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

2011-05-05

arxiv.org/abs/1105.1100v1

Physics

Mathematical Physics

LaTeX2e, 17 pages

Scientific paper

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.

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