Question: (a) Verify that (8.12.3) follows from (8.12.2) for the case of a threedimensional electron gas with a Fermi level E F . (b) Use a

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

(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. Fock (k) = V 2/ NPTK-P1 N P (8.12.2)

Fock (k) = V 2/ NPTK-P1 N P (8.12.2)

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