If you know that the average energy of an electronic gas when T>0 is given by the relationship 1 (e) N e f(e)g(e)de When substituting for the Fermi function and the density of cases, e3/2 de V (e) 00 2m 3/2 h2 e(e-ep)/kT +1 Prove in detail the product of the integration above is 3 n² (T (e) = €f(0) 4
If you know that the average energy of an electronic gas when T>0 is given by the relationship 1 (e) N e f(e)g(e)de When substituting for the Fermi function and the density of cases, e3/2 de V (e) 00 2m 3/2 h2 e(e-ep)/kT +1 Prove in detail the product of the integration above is 3 n² (T (e) = €f(0) 4
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Transcribed Image Text:If you know that the average energy of an
electronic gas when T>0 is given by the
relationship
(e) =
N e f(e)g(e)de
When substituting for the Fermi function and
the density of cases,
(广
e3/2 de
V
(e) =
00
2m 3/2
h2
e(e=ep)/kT + 1
Prove in detail the product of the integration
above is
[3
(e) = Ef(0)
n? (T
%3D
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