https://doi.org/10.1140/epja/i2019-12920-2
Regular Article - Theoretical Physics
Self-consistent analysis of quantum gases of hard spheres beyond the Van der Waals approximation
1
Bogolyubov Institute for Theoretical Physics, Metrologichna str. 14B, 03680, Kyiv, Ukraine
2
Department of Physics, Taras Shevchenko National University of Kyiv, 03022, Kyiv, Ukraine
* e-mail: bugaev@th.physik.uni-frankfurt.de
Received:
19
July
2019
Accepted:
14
October
2019
Published online:
18
November
2019
The necessary conditions to derive the quantum Van der Waals (VdW) equation of state (EoS) with hard-core repulsion from the quantum partition are discussed for the one-component case. This EoS is obtained in the grand canonical and canonical variables, and its standard virial representation with the quantum virial coefficients is given. The multicomponent formulation of the quantum VdW EoS with hard-core repulsion is derived within a self-consistent approximation which allows one to recover the classical virial coefficients of higher order. For practical applications the latter EoS is simplified, extended to higher densities and generalized to the case of hard convex bodies of any dimension 
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© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
