Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/9402085

Ursell operators in statistical physics I: generalizing the Beth Uhlenbeck formula

Franck Laloë

Published Feb 21, 1994• 0 citations
arXivHTMLPDF

Abstract

Using Ursell operators for the study of the poperties of dilute degenerate gases
DOI
10.48550/arxiv.cond-mat/9402085

Related papers

Ursell operators in statistical physics I: generalizing the Beth Uhlenbeck formula

P. Grüter, Franck Laloë

•Jan 1, 1995•0 citations

Ursell operators in statistical physics II: microscopic properties of a dilute quantum gas

P. Grüter, Franck Laloë

•Jan 1, 1995•0 citations

Ursell operators in statistical physics of dense systems: the role of high order operators and of exchange cycles

Jean-Noël Fuchs, Markus Holzmann, Franck Laloë

arXiv:cond-mat/0109265•The European Physical Journal B•Feb 1, 2002•3 citations

A generalized Uhlenbeck and Beth formula for the third cluster coefficient

Sigurd Yves Larsen, Monique Lassaut, Alejandro Amaya-Tapia

arXiv:1606.06393•Annals of Physics•Sep 2, 2016•1 citation

Dynamics of Ursell — Mayer correlation functions in functional formalism of classical statistics

P. Quaas, K. Voß, P. Ziesche

Acta Physica Academiae Scientiarum Hungaricae•Feb 1, 1968•2 citations

Ursell operators in statistical physics I: Generalizing the Beth Uhlenbeck formula

P. Grüter, Franck Laloë

The Beth Uhlenbeck formula gives an exact (quantum) expression of the second virial correction to the equation of state of a (slightly degenerate) dilute gas. We show how this result can be extended to arbitrary degeneracy provided that the interaction potential has a sufficiently short range. For this purpose we develop a formalism based on the use of Ursell operators, which contain no symmetrization in themselves (they correspond to an auxiliary system of distinguishable particles) and we show how they can be used for a system of identical particles. A concise expression generalizing the Beth Uhlenbeck formula is obtained, which is equally valid for bosons and fermions Higher order corrections are also introduced. The formalism is rather general and will be applied to other cases in forthcoming articles.

Journal de Physique I•Feb 1, 1995•6 citations
The Beth Uhlenbeck formula gives an exact (quantum) expression of the second virial correction to the equation of state of a (slightly degenerate) dilute gas. We show how this result can be extended to arbitrary degeneracy provided that the interaction potential has a sufficiently short range. For this purpose we develop a formalism based on the use of Ursell operators, which contain no symmetrization in themselves (they correspond to an auxiliary system of distinguishable particles) and we show how they can be used for a system of identical particles. A concise expression generalizing the Beth Uhlenbeck formula is obtained, which is equally valid for bosons and fermions Higher order corrections are also introduced. The formalism is rather general and will be applied to other cases in forthcoming articles.