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Published December 2007 | Submitted
Journal Article Open

The critical temperature for the BCS equation at weak coupling

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 on V(x) for the existence of a nontrivial solution for all values of λ>0.

Additional Information

© 2007 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. Received October 24, 2007. The last author acknowledges partial support by U.S. NSF grant PHY-0353181 and by an A.P. Sloan Fellowship.

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August 19, 2023
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