The solution to the BCS gap equation and the second-order phase transition in superconductivity (vol 383, pg 353, 2011)

作者：Watanabe Shuji^*

来源：Journal of Mathematical Analysis and Applications, 2013, 405(2): 742-745.

DOI：10.1016/j.jmaa.2013.03.070

• Continuity with respect to both the temperature and the energy
• Solution to the BCS gap equation
• Superconductivity

This is an addendum to my preceding paper Watanabe (2011) [10]. We show that the solution to the BCS gap equation in superconductivity is continuous with respect to both the temperature T and the energy x under a certain condition when the potential U(., .) is not a constant. To this end we regard the BCS gap equation as a nonlinear integral equation on a Banach space consisting of continuous functions of both T and x.

• 出版日期2013-9-15