Also I have just realized that my previous statement "electron gas, the value of g_i=2" is plainly wrong as that is only the degenerate factor due to spin but not the whole degeneracy factor on 6D phase space. Thanks.
Yes, but those g_i values are not large numbers. Just think on an electron gas, the value of g_i=2, which is not large enough to support the use of Stirling's approximation.
Hi People.
I was looking at the derivation(s) of Fermi-Dirac Statistics by means of the "most probable distribution" (I know the correct way is to use ensembles, but my point is related to this derivation) and it usually employs Lagrange multipliers and Stirling's approximation on the...