Integral representation for the grand partition function in quantum statistical mechanics of exclusion statistics

Authors
Iguchi, K Aomoto, K
Citation
K. Iguchi et K. Aomoto, Integral representation for the grand partition function in quantum statistical mechanics of exclusion statistics, INT J MOD B, 14(5), 2000, pp. 485-506
Citations number
22
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
ISSN journal
02179792 → ACNP
Volume
14
Issue
5
Year of publication
2000
Pages
485 - 506
Database
ISI
SICI code
0217-9792(20000220)14:5<485:IRFTGP>2.0.ZU;2-Y
Abstract
We derive an exact integral representation for the grand partition function for an ideal gas with exclusion statistics. Using this we show how the Wu' s equation for the exclusion statistics appears in the problem. This can be an alternative proof for the Wu's equation. We also discuss that singulari ties are related do the existence of a phase transition of the system.