Equations for generating functionals in classical and quantum statistical mechanics

This paper develops a formalism for the generating functionals for partial distribution functions in classical statistical mechanics and partial density matrices in quantum statistical mechanics. For the case of a large canonical ensemble, functional equations are written with respect to the functionals introduced. Each functional system creates a system of integral equations for distribution functions or density matrices.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 9, pp. 98–102, September, 1971.