In this post, we will see the book A New Method In The Theory Of Super– Conductivity by N. N. Bogoliubov; V. V. Tolmachev; D. V. Shirkov.

About the book

The present work is an extension of a new method in the theory of superconductivity recently suggested by one of the authors.

We calculate the energy of the superconducting ground state using Frohlich’s Hamiltonian, as well as the one-fermion and collective elementary excited states. It is shown in this way that the final formulas recently obtained by Bardeen, Cooper, and Schrieffer for the ground state and the one-fermion excited states are correct in the first approximation. The physical picture of the phenomenon is found in some ways to resemble more closely that described by Schafroth, Butler, and Blatt.

We analyze in detail the role of the Coulomb interaction between the electrons in the theory of superconductivity.

We treat a system of fermions with a fourth-order interaction Hamiltonian and establish the criterion for its superconductivity.

The original Russian text, from the V. A. Steklov Institute of Mathematics and the Joint Institute for Nuclear Research, was published by the Academy of Sciences USSR Press in 1958.

You can get the book here.
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