Bounds for thermodynamic Green's functions from the application of path integral methods

Abstract

Symanzik's inequalities for thermodynamic Green's functions are applied to correlation functions occurring in the quantum statistical mechanics of dilute gases. The application is based on the use of the constant‐force Green's function. The results are compared with the results of classical path approximations. The Green's function inequality corresponding to the Feynman‐Hibbs partition function inequality is derived and discussed. Applications to a model of hydrogen vapor and to the statistical mechanics of the hydrogen atom are presented.