(Q4) (20 pts) Sommerfeld Expansion of the 2-Dimensional Fermi Gas The density of states for the 2-dimensional Fermi gas

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(Q4) (20 pts) Sommerfeld Expansion of the 2-Dimensional Fermi Gas The density of states for the 2-dimensional Fermi gas

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Q4 20 Pts Sommerfeld Expansion Of The 2 Dimensional Fermi Gas The Density Of States For The 2 Dimensional Fermi Gas 1
Q4 20 Pts Sommerfeld Expansion Of The 2 Dimensional Fermi Gas The Density Of States For The 2 Dimensional Fermi Gas 1 (24.85 KiB) Viewed 30 times
(Q4) (20 pts) Sommerfeld Expansion of the 2-Dimensional Fermi Gas The density of states for the 2-dimensional Fermi gas confined in an area A is a constant: A²N 4xmA g(e) where ep= Calculate the internal energy U and heat capacity Cy of this gas in the limit kTep using the Sommerfeld expansion. Use ep and the integrals: x²e² (ex + 1)20 Love Lo -dr = 3 dr = 1 (ex + 1)²°
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