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On the BCS gap equation for superfluid fermionic gases

2014/03/11 by Gerhard Bräunlich, Bräunlich, Gerhard, Christian Hainzl +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Gases (cond-mat.quant-gas) #Superconductivity (cond-mat.supr-con) #cond-mat.quant-gas #cond-mat.supr-con #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1403.2563

Contribution to the proceedings of QMath12, Berlin, September 10-13, 2013

arxiv created 2014/03/11 · arxiv updated 2014/03/12

Abstract

We present a rigorous derivation of the BCS gap equation for superfluid fermionic gases with point interactions. Our starting point is the BCS energy functional, whose minimizer we investigate in the limit when the range of the interaction potential goes to zero.

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