Partition Function, Grand Potential

[unscientific]

It seems like they have missed out a factor of $(2S+1)$ in the final expression for grand potential? I'm thinking it should be $(2S+1)^2$ instead.

 

[Bill_K]

I don't know, didn't they write the (2S+1) factor twice? There are 2S+1 states for each value of k, so in Eq.(30.3) you can put this factor in front of the integral, or include it in g(E), but you should not do both!

 

[unscientific]

I don't know, didn't they write the (2S+1) factor twice? There are 2S+1 states for each value of k, so in Eq.(30.3) you can put this factor in front of the integral, or include it in g(E), but you should not do both!

Good point. Thanks a lot