Nonlinear integral equation from the BCS gap equations of superconductivity (Q1049429)
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scientific article; zbMATH DE number 5656642
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear integral equation from the BCS gap equations of superconductivity |
scientific article; zbMATH DE number 5656642 |
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Nonlinear integral equation from the BCS gap equations of superconductivity (English)
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12 January 2010
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The main result of the present paper establishes that the critical temperature \(T_c\) of the occurence of superconductivity is determined by the the first eigenvalue of the kernel function in the context of the Markowitz-Kadanoff model. The results developed in the present paper show that the determination of the critical temperature may be reduced to a singleton equation. The proofs rely on elementary monotonicity techniques.
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existence and uniqueness of positive solutions
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eigenvalue
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system of integral equation
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superconductivity
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Bardeen-Cooper-Schieffer (BCS) theory
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