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08 Aug What is the dispersion Delta (n) of fermions?

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Quantum Statistics for many particles. Consider a system consisting of N indistinguishable quantum particles. Grand partition function Z can be defined as….. (attached file shows equations). Answer the following:

(a) what is the grand partition function Z if the particles obey Fermi-Dirac statistics? and If they obey Bose-Einstein statistics.

(b) what is the average number of fermions (and bosons) n ?

(c) What is the dispersion Delta (n) of fermions? of Bosons?

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