# Lecture 13 - Ideal Quantum Gas Review of Classical Partition Function(Distinguishable Particles 2-State Systems QN e H i i e H i i i e H i i i e H

This preview shows pages 1–3. Sign up to view the full content.

Ideal Quantum Gas Review of Classical Partition Function (Distinguishable Particles) 2-State Systems       1 i i i i i i H N H i H i HH i N Qe e e ee Q     Now consider a different way of computing this – in terms of single particle states     1 1 2 2 12 1 1 2 2 , ! ' !! s E N s nn E n n N n n N e          11 1 1 1 1 2 1 21 () ! !( )! ! where and !( )! n N n N n n N n n n N n N Q e e n N n N x y x e y e n N n      1 1 1 ! 1 ( ) !( )! nN N N N N n N N x x y y x y e e n N n y y Q  

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
How does one handle indistinguishability in classical Statistical Mechanics? Well that came as an ad hoc solution by Gibbs: 1 ! N N Q Q N but the ! ! i N n degeneracy factor was still used in the partition function ! In general   ' {} degeneracy factor ! ! non-interacting ii i n N i n i N Qe n     12 , can be shown explicitly (see, for example, 3-state systems) !
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 09/28/2011 for the course PHYSICS 971 taught by Professor Chakabarti during the Spring '10 term at Kansas State University.

### Page1 / 5

Lecture 13 - Ideal Quantum Gas Review of Classical Partition Function(Distinguishable Particles 2-State Systems QN e H i i e H i i i e H i i i e H

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online