Advanced Physics Consider a grand canonical ensemble of non-interacting fermions with chemical potential μ. The 1- particle states are labeled by a wave vector k and have energies &(K) a) What is the joint probability P({n}) of finding a set of occupation numbers {n} in 1-particle states? b) Express your answer to part a) in terms of average occupancy numbers {n}.
Advanced Physics Consider a grand canonical ensemble of non-interacting fermions with chemical potential μ. The 1- particle states are labeled by a wave vector k and have energies &(K) a) What is the joint probability P({n}) of finding a set of occupation numbers {n} in 1-particle states? b) Express your answer to part a) in terms of average occupancy numbers {n}.
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Transcribed Image Text:Advanced Physics
Consider a grand canonical ensemble of non-interacting fermions with chemical potential μ. The 1-
particle states are labeled by a wave vector k and have energies (k)
a) What is the joint probability P({n}) of finding a set of occupation numbers {";} in
1-particle states?
b) Express your answer to part a) in terms of average occupancy numbers {n}.
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