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I understand that the grand-canonical partition function is given by

$$Z = \sum_i e^{-\beta(E_i - \mu N_i)}$$

Is there any interpretation to the quantity ##E_i - \mu N_i## here? In the canonical ensemble this would simply be energy of the ##i##th state, so I suppose this would be "energy" of some kind in the GCE?

Thanks in advance.

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# I Grand Canonical Partition function

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