Pressure and entropy of degenerate Fermi gas. (a) Show that a Fermi electron gas in the ground

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Pressure and entropy of degenerate Fermi gas.

(a) Show that a Fermi electron gas in the ground state exerts a pressure

(Зл*)2/3 h² 1? N 5/3 т

In a uniform decrease of the volume of a cube every orbital has its energy raised: The energy of an orbital is proportional to 1/L2 or to 1/V2/3.

(b) Find an expression for the entropy of a Fermi electron gas in the region τ << εF. Notice that σ → 0 as τ → 0.

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Thermal Physics

ISBN: 978-0716710882

2nd Edition

Authors: Charles Kittel, Herbert Kroem

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