The first quantum correction to the fourth virial coefficient for fluids in d-dimensionality for the square-well potential at the classical limit

The aim of the present work is to derive the first quantum correction to the fourth virial coefficient for fluids of molecules interacting according to the square-well potential of arbitrary dimensionality d. In this paper, we show that the basic method of Hemmer and Jancovici, which was followed by Gibson, can be extended to cover more general intermolecular potentials. The extension of the formalism is straightforward, but some consideration has to be given to the problem of how to truncate the resulting expansion to get all the quantum corrections to a given order in lambda. The first quantum correction to the fourth virial coefficient is obtained in arbitrary dimensionality (d = 1, 3).