Abstract
A Green's function method in quantum statistics is developed. It is shown that the equations obtained contain in a simple approximation various methods encountered in statistical physics and in the theory of many particles as well as their extensions to cases of non-vanishing temperature (e.g., the Debye-Hückel, Hartree-Fock, Thomas-Fermi, Gell-Mann-Brueckner methods). A transition to time-dependent Green's functions is considered and a method for the determination of the energy spectrum of the system is proposed.
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