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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1975 Volume 22, Number 1, Pages 46–63 (Mi tmf3508)

This article is cited in 5 papers

Generating functionals in the nonequilibrium statistical mechanics of a nonideal Fermi gas

M. I. Auslender, V. P. Kalashnikov


Abstract: Equation of motion for the non-equilibrium generating functional (GF) of the system of interacting fermions is constructed. The solution of this equation, satisfying the correlations weakening condition in infinitely distant past and depending upon the time only through the one-particle density matrices, is found. Perturbation theory for the GF with respect to small interaction and small density of particles is developed, which is based on the iterative expansion of integral equations for the GF. Relation of the technique developed to the N. N. Bogoliubov method in the theory of non-ideal gas is discussed.

Received: 23.03.1974


 English version:
Theoretical and Mathematical Physics, 1975, 22:1, 32–44


© Steklov Math. Inst. of RAS, 2026