The Quantum-Mechanical Partition Function

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Abstract
A simple method is demonstrated of expanding the quantum-mechanical partition function in powers of the interaction potential between the particles of the system. The result is valid for all types of statistics and for all types of interaction, provided the interaction potential is nonsingular. The general term is expressed, in terms of known quantities, in a compact form. It is shown that the series must be considerably modified for the case in which the potential is singular. The convergence of the series is discussed briefly.

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