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Assuming a degeneracy of 4 for this two particle system' energy level,

 
Figure 1: Bose-Einstein and Fermi-Dirac Counting

give the number of Bose-Einstein, Fermi-Dirac, and Boltzmann complections depicted, which would contribute to the overall counting problem in statistical thermodynamics.

One has for the number of (distinguishable) Boltzmann states

but the number of indistinguishable states is

which is the Boltzmann value corrected for indistinguishability. The number of Bose-Einstein states is

and the number of Fermi-Dirac states is


/ time_stamp:14:19 ,Monday, November 23, 20109
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