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Is is possible to derive the Bose-Einstein density of states containing the delta function representing the BE condensate?

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What do you mean by "total density of states"? The basic DoS is a single particle quantity and just depends the dispersion relation, so it doesn't care about BEC or anything. – BebopButUnsteady Mar 18 '13 at 15:38
@BebopButUnsteady: My bad! I should have said B-E distribution function. What I wanted to know is there a purely mathematical derivation of the delta function which corresponds to the BEC. In all the "derivations" I have seen so far, it is put by hand. – LBO Mar 18 '13 at 17:43

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