Problem

(a) From equation (9-34) and the Fermi-Dirac distribution given in Exercise 53, obtain an...

(a) From equation (9-34) and the Fermi-Dirac distribution given in Exercise 53, obtain an expression for EF(T), the Fermi temperature for a collection of fermion oscillators, (b) Show that EF0 = ξ. (c) Plot EF(T) versus kBT/ξ from 0 to kBT/ξ = 1.5. (d) By what percent does the Fermi energy drop from its maximum T = 0 value when kBT rises to 25% of ξ?

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