INTEGRAL REPRESENTATION FOR THE GR AND PARTITION FUNCTION IN QUANTUM STATISTICAL MECHANICS OF EXCLUSION STATISTICS

2000 ◽  
Vol 14 (05) ◽  
pp. 485-506 ◽  
Author(s):  
KAZUMOTO IGUCHI ◽  
KAZUHIKO AOMOTO
Keyword(s):  
Phase Transition ◽  
Partition Function ◽  
Statistical Mechanics ◽  
Integral Representation ◽  
Quantum Statistical Mechanics ◽  
Ideal Gas ◽  
Alternative Proof ◽  
Quantum Statistical

We derive an exact integral representation for the gr and 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 singularities are related to the existence of a phase transition of the system.

On N. N. Bogolyubov's works in classical and quantum statistical mechanics

1993 ◽  
Vol 45 (2) ◽  
pp. 171-214
Author(s):  
Yu. A. Mitropolskii ◽  
D. Ya. Petrina
Keyword(s):  
Statistical Mechanics ◽  
Quantum Statistical Mechanics ◽  
Quantum Statistical
Sign in / Sign up

Export Citation Format

Share Document