On the statistical thermodynamics of quantum gases
Joint Institute for High Temperatures, Russian Academy of Sciences,Izhorskaya St. 13, Bd. 2, Moscow 125412, Russia
National Research University “Moscow Power Engineering Institute”,Krasnokazarmennaya 14, Moscow, 111250, Russia
Received August 2, 2018, published online November 26, 2018
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.
Key words: quantum gases, statistical thermodynamics, virial theorem, temperature Green’s functions.