## 2D ideal Fermi gas.

**2D ideal Fermi gas**

Consider an ideal Fermi gas in 2D. It is contained in an area of dimensions L x L. The particle mass is m

- Find the density of states D(âˆˆ)
- Find the Fermi energy as a function of the particle density n = N/L
^{2}Â - Find the total energy as a function of the Fermi energy âˆˆ
_{F} - Find the chemical potentialÂ Âµ as a function of n and T

**Hint:** Note that

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