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.
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Acknowledgements and Notes. The last author acknowledges partial support by U.S. NSF grant PHY-0353181 and by an A.P. Sloan Fellowship.
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Frank, R.L., Hainzl, C., Naboko, S. et al. The critical temperature for the BCS equation at weak coupling. J Geom Anal 17, 559–567 (2007). https://doi.org/10.1007/BF02937429
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DOI: https://doi.org/10.1007/BF02937429