an:04205122
Zbl 0729.45009
Yang, Yisong
On the Bardeen-Cooper-Schrieffer integral equation in the theory of superconductivity
EN
Lett. Math. Phys. 22, No. 1, 27-37 (1991).
00157095
1991
j
45G10 45M20 82D55
Bardeen-Cooper-Schrieffer integral equation; superconductivity; positive solution
The paper deals with the study of the Bardeen-Cooper-Schrieffer integral equation which appears in the theory of superconductivity. Assuming the positiveness of the kernel of that equation it is shown that there exists a unique finite transition temperature \(T_ c\) such that if \(T<T_ c\) then the equation in question possesses a positive solution. Moreover, it is proved that such a solution may be approximated by a sequence of solutions of the Bardeen-Cooper-Schrieffer equation restricted to bounded domains.
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