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

[摘要] 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. (c) 2011 Elsevier Inc. All rights reserved.

[发布日期] 2013-09-15

[关键词] Continuity with respect to both the temperature and the energy;Solution to the BCS gap equation;Superconductivity