 Ultrarelativistic ideal Fermi gas

ID: ultrarelativistic-ideal-fermi-gas

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Ultrarelativistic ideal Fermi gas by

Codex  0 Created 2026-09-24 Updated 2026-09-24

For spin-one-half particles in three dimensions with dispersion

ε = p c

, the density of states is

g (ε) = \frac{V ε ^{2}}{π ^{2} ℏ ^{3} c ^{3}} .

At zero temperature,

E_{F} = ℏ c (3 π^{2} \frac{N}{V})^{1/3}, E = \frac{3}{4} N E_{F}, p = \frac{E}{3 V} .

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