Abstract
In this article we apply the method of density matrices for the description of the equilibrium system of interacting electrons. Variational principle of the density matrices is used in the framework of the mean field method for research of systems of valence electrons in metals. We obtained the model Hamiltonian describing the behavior of interacting electrons, which describes all the properties of superconductors. Note that was using the Coulomb potential that acts between two electrons in the coordinate space.
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