An operator-theoretical study on the BCS-Bogoliubov model of superconductivity near absolute zero temperature

@article{Watanabe2021AnOS,
  title={An operator-theoretical study on the BCS-Bogoliubov model of superconductivity near absolute zero temperature},
  author={Shuji Watanabe},
  journal={Scientific Reports},
  year={2021},
  volume={11}
}
In the preceding papers the present author gave another proof of the existence and uniqueness of the solution to the BCS-Bogoliubov gap equation for superconductivity from the viewpoint of operator theory, and showed that the solution is partially differentiable with respect to the temperature twice. Thanks to these results, we can indeed partially differentiate the solution and the thermodynamic potential with respect to the temperature twice so as to obtain the entropy and the specific heat… 
Another operator-theoretical proof for the second-order phase transition in the BCS-Bogoliubov model of superconductivity
In the preceding papers, imposing certain complicated and strong conditions, the present author showed that the solution to the BCS-Bogoliubov gap equation in superconductivity is twice

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