(a) Verify that (8.12.3) follows from (8.12.2) for the case of a threedimensional electron gas with a...

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(a) Verify that (8.12.3) follows from (8.12.2) for the case of a threedimensional electron gas with a Fermi level EF.

(b) Use a program like Mathematica to calculate numerically the unscreened exchange energy from (8.12.2) for the case of a Maxwell–Boltzmann distribution of electrons, that is, the high-temperature limit.

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