On the Bardeen-Cooper-Schrieffer integral equation in the theory of superconductivity

Yisong Yang

doi:10.1007/BF00400375

On the Bardeen-Cooper-Schrieffer integral equation in the theory of superconductivity

Yisong Yang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The Bardeen-Cooper-Schrieffer integral equation with a positive kernel is studied in full generality. It is shown that, there exists a unique finite transition temperature, T_cso that, if T<T_c,the equation possesses a positive solution, representing the onset of the superconducting phase, while if T>T_c,the only solution of the equation is the trivial one, indicating the occurrence of the normal phase. Moreover, it is demonstrated that such a positive solution may be approximated by a sequence of solutions of the equation restricted on bounded domains. This latter result provides a useful computational scheme for the problem.

Original language	English (US)
Pages (from-to)	27-37
Number of pages	11
Journal	Letters in Mathematical Physics
Volume	22
Issue number	1
DOIs	https://doi.org/10.1007/BF00400375
State	Published - May 1991

Keywords

AMS subject classifications (1980): 81J05, 82A25, 45G05

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF00400375

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On the Bardeen-Cooper-Schrieffer integral equation in the theory of superconductivity

Abstract

Keywords

ASJC Scopus subject areas

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