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arxiv: 1105.1100 · v1 · pith:EBQUWKQZnew · submitted 2011-05-05 · 🧮 math-ph · cond-mat.quant-gas· math.MP

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

classification 🧮 math-ph cond-mat.quant-gasmath.MP
keywords bose-einsteindensityfermionlimitpairsallowsapproximatedapproximation
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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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