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The critical temperature for the BCS equation at weak coupling
Authors:Rupert L Frank  Christian Hainzl  Serguei Naboko  Robert Seiringer
Institution:1.Department of Mathematics,Royal Institute of Technology,Stockholm,Sweden;2.Department of Mathematics,UAB,Birmingham;3.Department of Physics,UAB,Birmingham;4.Department of Physics,Princeton University,Princeton
Abstract:For the BCS equation with local two-body interaction λV(x), we give a rigorous analysis of the asymptotic behavior of the critical temperature as γ»0. We derive necessary and sufficient conditions onV(x) for the existence of a nontrivial solution for all values of γ>0.
Keywords:Math Subject Classifications" target="_blank">Math Subject Classifications  81Q10  46N50  82D50
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