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Further results can be found in the article on the ideal Fermi gas.
A Fermi gas is an ensemble of a large number of fermions.
Below the results obtained from the study of degenerate Fermi gases are briefly summarized.
Those fluctuations proved to be sub-Poissonian, as expected for a Fermi gas.
Both models treat the white dwarf as a cold Fermi gas in hydrostatic equilibrium.
Fermions, on the other hand, are forbidden from sharing quantum states, giving rise to systems such as the Fermi gas.
The following differences to the non-interacting Fermi gas arise:
Consider a spinless ideal Fermi gas of particles.
Degenerate matter is also called a Fermi gas or a degenerate gas.
Chandrasekhar gives the following expression, based on the equation of state for an ideal Fermi gas:
One model that estimates the properties of an electron gas at absolute zero in metals is the Fermi gas.
Consider a non-interacting fermion system (a Fermi gas), and suppose we "turn on" the interaction slowly.
This restriction of available electron states is taken into account by Fermi-Dirac statistics (see also Fermi gas).
If the Coulomb interaction between the electrons is neglected, then we have the free-electron gas, or the free Fermi gas.
Integrals of this type for Bose and Fermi gases can be expressed in terms of polylogarithms.
For this reason, the pressure of a Fermi gas is non-zero even at zero temperature, in contrast to that of a classical ideal gas.
The behavior of electrons in a white dwarf or neutrons in a neutron star can be approximated by treating them as an ideal Fermi gas.
Oppenheimer and Volkoff assumed that the neutrons in a neutron star formed a degenerate cold Fermi gas.
The free electrons are referred to as conduction electrons, and the cloud of free electrons is called a Fermi gas.
In the last seven years the study of superfluidity in Fermi gases has been at the center of attention of the ultracold atoms community.
Landau argued that in this situation, the ground state of the Fermi gas would adiabatically transform into the ground state of the interacting system.
Note that the above formula is only applicable to classical ideal gases and not Bose-Einstein or Fermi gases.
Thus, there is a one-to-one correspondence between the elementary excitations of a Fermi gas system and a Fermi liquid system.
Here, the electrons are modelled as a Fermi gas, a gas of particles which obey the quantum mechanical Fermi-Dirac statistics.
High-density atomic gases super cooled to incredibly low temperatures are classified by their statistical behavior as either a Bose gas or a Fermi gas.