Pressure and entropy of degenerate Fermi gas.

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

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/V^2/3.

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

Transcribed Image Text:

(Зл*)2/3 h² 1? N 5/3 т