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10-18. Consider a system in which the density of states of the electrons f(ɛ) is f(e) = constant = D E>0 = 0 ɛ<0 Calculate the Fermi energy for this system; determine the condition for the system being highly degenerate; and then show that the heat capacity is proportional to T for the highly degenerate case.

10-18. Consider a system in which the density of states of the electrons f(ɛ) is f(e) = constant = D E>0 = 0 ɛ<0 Calculate the Fermi energy for this system; determine the condition for the system being highly degenerate; and then show that the heat capacity is proportional to T for the highly degenerate case.

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10-18. Consider a system in which the density of states of the electrons f(ɛ) is f(E) = constant = D ɛ>0 ɛ<0 Calculate the Fermi energy for this system; determine the condition for the system being highly degenerate; and then show that the heat capacity is proportional to T for the highly degenerate case.
Transcribed Image Text:10-18. Consider a system in which the density of states of the electrons f(ɛ) is f(E) = constant = D ɛ>0 ɛ<0 Calculate the Fermi energy for this system; determine the condition for the system being highly degenerate; and then show that the heat capacity is proportional to T for the highly degenerate case.
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