The critical temperature for the BCS equation at weak coupling

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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 $λ\to 0$. We derive necessary and sufficient conditions on $V(x)$ for the existence of a non-trivial solution for all values of $λ>0$.
Revised Version. To appear in J. Geom. Anal

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Superconductivity, Other Condensed Matter, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/154114

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.3564
 http://arxiv.org/abs/0704.3564
 J. Geom. Anal. 17, 559-568 (2007)

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arXiv