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Callen H.B - Thermodynamics And An Introduction To Thermostatistics
· Problem 18.4-1
FLUCTUATIONS
Physics — Statistical Mechanics · fermi-energy-k-space
Problem
Show that equation 18.32 can be interpreted as
μ
0
=
ℏ
2
k
F
2
/
2
m
\mu_0 = \hbar^2 k_F^2/2m
μ
0
=
ℏ
2
k
F
2
/2
m
where
k
F
k_F
k
F
is the radius of the sphere in
k
\mathbf{k}
k
-space such that one octant contains
2
N
~
2\tilde{N}
2
N
~
particles (recall Section 16.6). Why
2
N
~
2\tilde{N}
2
N
~
rather than
N
~
\tilde{N}
N
~
particles?
Related theory
Work And Kinetic Energy Work Energy Theorem
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