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3. (Kittel 7.3) Pressure and entropy of degenerate Fermi gas. (a) Show that a fermi electron gas in the ground state exerts a pressure

3. (Kittel 7.3) Pressure and entropy of degenerate Fermi gas. (a) Show that a fermi electron gas in the ground state exerts a pressure

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3. (Kittel 7.3) Pressure and entropy of degenerate Fermi gas. (a) Show that a fermi electron gas in the ground state exerts a pressure (37²) 2/3 ħ² (N) 5 m V 5/3 In a uniform decrease of the volume of a cube every orbital has its energy raised: The energy of an orbital is proportional to 1/1² or 1/V2/3. (a) Find an expression for the entropy of a fermi electron gas in the region T << EF. Notice that o⇒0 as T→0.
Transcribed Image Text:3. (Kittel 7.3) Pressure and entropy of degenerate Fermi gas. (a) Show that a fermi electron gas in the ground state exerts a pressure (37²) 2/3 ħ² (N) 5 m V 5/3 In a uniform decrease of the volume of a cube every orbital has its energy raised: The energy of an orbital is proportional to 1/1² or 1/V2/3. (a) Find an expression for the entropy of a fermi electron gas in the region T << EF. Notice that o⇒0 as T→0.
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