Quantum Statistics of Surface Effect

Abstract

The quantum mechanical behaviors of a dilute gas in a vessel with finite volume are considered with special reference to the surface effect. It is shown that the thermodynamic function of the system with weak interaction between particles can be expanded in terms of permutation rings with the use of M. Toda’s formula, and the result is shown to be in harmony with that derived from the method of grand partition function. An approximate treatment for molecules with hard cores is also given.