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

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

View Full Document Right Arrow Icon
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  
Background image of page 1

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

View Full DocumentRight Arrow Icon
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) !
Background image of page 2
Image of page 3
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 Right Arrow Icon
Ask a homework question - tutors are online