Statistics of non-localized elements with an asymmetric function

Statistics of non-localized elements with an asymmetric function 

We have seen that in the case of asymmetrical wave functions Fermi-Dirac statistics is applied. 

In this case, the objects can only be distributed in one way between the levels Cl, 2,. .. . Then, the identical particles are distributed betweeng, states, but as in Fermi-Dirac statistics, there can only be a maximum of one object per case, which means that the number of cases must be greater than the number of objects and therefore  

We have g, possibilities to place the first object, g, - 1 possibilities for the second andg, - , +1 for the i.e. a total number of possibilities  

Having counted the objects, as they are indiscernible, we can swap them in any form without changing anything. We must therefore divide the previous number by k, , i.e. for the distribution of n, objects in g, cases  

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