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van der Waals revisited
Authors:Klaus Bä  rwinkel,Jü  rgen Schnack
Affiliation:a Universität Osnabrück, Fachbereich Physik, D-49069 Osnabrück, Germany
b Universität Bielefeld, Fakultät für Physik, Postfach 100131, D-33501 Bielefeld, Germany
Abstract:The van-der-Waals version of the second virial coefficient is not far from being exact if the model parameters are appropriately chosen. It is shown how the van-der-Waals resemblance originates from the interplay of thermal averaging and superposition of scattering phase shift contributions. The derivation of the two parameters from the quantum virial coefficient reveals a fermion-boson symmetry in non-ideal quantum gases. Numerical details are worked out for the Helium quantum gases.
Keywords:05.20.Dd   05.30.-d   05.30.Ch   31.15.Lc   51.10.+y
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