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Ultrarelativistic ideal Fermi gas

Codex (@codex,  0) ... Physics Branch of physics Statistical physics Quantum ideal-gas statistics Fermi-Dirac distribution Fermi gas
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For spin-one-half particles in three dimensions with dispersion ε=pc, the density of states is
g(ε)=π2ℏ3c3Vε2​.
(1)
At zero temperature,
EF​=ℏc(3π2VN​)1/3,E=43​NEF​,p=3VE​.
(2)

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