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.