This model system can be used to analyze conduction in metals because the valence electrons in a metal form a state closely approximated by this system.
For the non-relativistic case, the pressure of this system in its ground state is proportional to the density raised to the five-thirds power. The heat capacity of this system decreases monotonically with increasing temperature, unlike a counterpart system which exhibits a kink in the heat capacity vs. temperature plot. A special case of this system in which motion is confined to the plane will exhibit Landau levels upon application of an external magnetic field and was used to discover the quantum Hall effect. This system obeys a distribution function given by one over the quantity one plus the exponent of minus the energy over the thermodynamic beta. This model system can be used to analyze conduction in metals because the valence electrons in a metal form a state closely approximated by this system. Reducing, like its counterpart, to the Maxwell-Boltzmann gas at high temperatures, for 10 points, identify this model system which obeys the quantum statistics of non-interacting half-integer spin particles.
For the non-relativistic case, the pressure of this system in its ground state is proportional to the density raised to the five-thirds power.
Fermi gas [accept Fermi system or Fermi-Dirac system or degenerate electron gas before "electrons", but do not accept Fermi liquid]