The explicit expression of the fugacity for weakly interacting Bose and Fermi gases

Abstract

In this paper, we calculate the explicit expression for the fugacity for two- and three-dimensional weakly interacting Bose and Fermi gases from their equations of state in isochoric and isobaric processes, respectively, based on the mathematical result of the boundary problem of analytic functions --- the homogeneous Riemann-Hilbert problem. We also discuss the Bose-Einstein condensation phase transition of three-dimensional hard-sphere Bose gases.

24 pages, 9 figures

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• The Brownian Motion in an Ideal Quantum Qas
• Heat kernel approach for confined quantum gas