Question

Derive expressions for a Fermi gas in 2-D box of area A for the following: (a) The Fermi energy aSEF-n2/(4πm) (N/A). (b) The T-O energy as U-1/2 N EF (c) Density of states g(e) N/EF (d) Solve N-J g(ε) nFD(ε)de (where the integral goes from 0 to 00) for the chemical potential, μ(T), and show that the chemical potential recovers kT>XE (classical) and kT<< ε,degenerate Fermi gas) limits.

Answer 1

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