Nonrelativistic equilibrium number density

In the dilute Maxwell--Boltzmann regime, a species has number density proportional to

g (m k_{B} T)^{3/2} e^{(μ - m c^{2}) / (k_{B} T)}

.

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Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 310 / 2 / b / Solution

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