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Solid state physics
lectures
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99effb01
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99effb01
authored
5 years ago
by
T. van der Sar
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Update 2_debye_model.md - typos
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@@ -190,11 +190,11 @@ $$
We can trace back all the factors in the density of states to their origin:
*
$(L/2
\p
i)^3$ is the
number of possible waves per unit volume in the reciprocal
space.
*
$4π$ is the area of a unit sphere, the result of integrati
o
n over $d
\v
arphi$ and $dθ$.
*
$(L/2
\p
i)^3$ is the
density of $k$-points in $k$-
space.
*
$4π$ is the area of a unit sphere, the result of integratin
g
over $d
\v
arphi$ and $dθ$.
*
$ω^2$ is due to the area of this sphere being proportional to its squared radius.
*
$3$ is the number of possible polarizations in 3D (two transversal, one longitudinal).
*
$v^{-3}$ is due to $ω = v|k|$.
*
$v
_{
\r
m s}
^{-3}$ is due to $ω = v
_{
\r
m s}
|k|$.
## Low $T$
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