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The critical temperature for the BCS equation at weak coupling
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2007 (English)In: Journal of Geometric Analysis, ISSN 1050-6926, E-ISSN 1559-002X, Vol. 17, no 4, 559-567 p.Article in journal (Refereed) Published
Abstract [en]

For the BCS equation with local two-body interaction lambda V(x), we give a rigorous analysis of the asymptotic behavior of the critical temperature as lambda -> 0. We derive necessary and sufficient conditions on V(x)for the existence of a nontrivial solution for all values of lambda > 0.

Place, publisher, year, edition, pages
2007. Vol. 17, no 4, 559-567 p.
Keyword [en]
gap equation, critical temperature, Birman-Schwinger kernel, degenerate symbols
National Category
URN: urn:nbn:se:kth:diva-37011ISI: 000254082500001ScopusID: 2-s2.0-84867922346OAI: diva2:431823
Available from: 2011-07-26 Created: 2011-07-26 Last updated: 2011-07-26Bibliographically approved

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Frank, Rupert L.
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