Determine the average electron–phonon scattering time for a metal with electrons in a Fermi–Dirac distribution with μ = 0.5 eV above the ground state, and T = 300 K, instead of a Maxwell–Boltzmann distribution, and all the other parameters the same as in the example above. In this case, (5.1.34) is not valid, but (5.1.33) is. The phonon occupation number can still be taken in the high-temperature approximation, and you can still assume that the electron energy is large compared to the phonon energy. You will need to use a program like Mathematica for the final weighted average over q. In this case, you cannot use

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(hq)²/2m = kBT.