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Chapter 8 Fermi Perfect Fermi GasIn this chapter, we study a gas of non-interacting, elementary Fermi par-ticles. Since the particles are non-interacting, the potential energy is zero, andthe energy of each Fermion is simply related to its momentum by = has one-half integral spin, which we denote by s. The state of theFermion depends on the orientation of this spin (with respect to an appliedmagnetic field) as well as on its location in phase space. For spin s, there are2s+1 spin states or orientations ofs.
= gB( F) is the density of states at the Fermi surface and δ ∼ kT is, from (8.14), the region of energy affected at temperature kT. Also, the excitation energy of each Fermion is roughly the classical thermal energy. Thus, the energy required to heat the Fermi gas to temperature kT (the thermal
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