14 citations · 71 across the 18 of their papers we have counts for
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Is the solution to the BCS gap equation continuous in the temperature ?
Shuji Watanabe
One of long-standing problems in mathematical studies of superconductivity is to show that the solution to the BCS gap equation is continuous in the temperature. In this paper we a…
Smoothness of the Gap Function in the BCS-Bogoliubov Theory of Superconductivity
Shuji Watanabe
We deal with the gap equation in the BCS-Bogoliubov theory of superconductivity, where the gap function is a function of the temperature only. We show that the squared gap func…
Superconductivity and the BCS-Bogoliubov Theory
Shuji Watanabe
First, we reformulate the BCS-Bogoliubov theory of superconductivity from the viewpoint of linear algebra. We define the BCS Hamiltonian on , where is a po…
The solution to the BCS gap equation and the second-order phase transition in superconductivity
Shuji Watanabe
The existence and the uniqueness of the solution to the BCS gap equation of superconductivity is established in previous papers, but the temperature dependence of the solution is n…