On the statistical thermodynamics of quantum gases

On the basis of the grand canonical Gibbs distribution, using the virial theorem and the equations of motion for Green's functions, it is shown that the thermodynamic functions of a one-component quantum gas are uniquely determined by the two-particle Green's function outside the framework of perturbation theory. A thermodynamic self-consistency condition is formulated that makes it possible to select approximate expressions for the two-particle Green's function. © 2018 Fizika Nizkikh Temperatur. All rights reserved.