The Solution to the BCS Gap Equation for Superconductivity and Its Temperature Dependence
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-10
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
From the viewpoint of operator theory, we deal with the temperature dependence of the solution to the BCS gap equation for superconductivity.
When the potential is a positive constant, the BCS gap equation reduces to the simple gap equation.
We first show that there is a unique nonnegative solution to the simple gap equation, that it is continuous and strictly decreasing, and that it is of class C2 with respect to the temperature.
We next deal with the case where the potential is not a constant but a function.
When the potential is not a constant, we give another proof of the existence and uniqueness of the solution to the BCS gap equation, and show how the solution varies with the temperature.
We finally show that the solution to the BCS gap equation is indeed continuous with respect to both the temperature and the energy under a certain condition when the potential is not a constant.
American Psychological Association (APA)
Watanabe, Shuji. 2013. The Solution to the BCS Gap Equation for Superconductivity and Its Temperature Dependence. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-509227
Modern Language Association (MLA)
Watanabe, Shuji. The Solution to the BCS Gap Equation for Superconductivity and Its Temperature Dependence. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-509227
American Medical Association (AMA)
Watanabe, Shuji. The Solution to the BCS Gap Equation for Superconductivity and Its Temperature Dependence. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-509227
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509227