Dense Fermi Research Articles

Constrained Jastrow calculations

We present an alternative to Pandharipande's lowest order constrained variational prescription for dense Fermi fluids, which is justified on both physical and strict variational grounds. Excellent results are obtained when applied to the “homework problem” of Bethe, in sharp contrast to those obtained from the Pandharipande prescription.

The semiclassical fermion μ-space density in three dimensions

An approximation is constructed to the phase-space, or Wigner, distribution function for a three-dimensional, dense Fermi gas in a spherically symmetric potential well. Near the surface separating the classically forbidden region from the classically allowed region, quantum oscillations occur. The oscillations are expressed in terms of a universal function.

Quantum oscillations in the semiclassical fermion μ-space density

An approximation is constructed to the phase space, or Wigner, distribution function for a one-dimensional dense Fermi gas in a potential well. The quantum oscillations occurring near the turning line are expressed in terms of a simple universal function, suitable for incorporation into a Thomas-Fermi self-consistent scheme.

Microscopic theory of a dense Fermi liquid at low temperatures: II. Spin and density fluctuations

The theory of a dense low-temperature Fermi liquid which was developed in an earlier paper is applied to the study of spin and density fluctuations. Under certain conditions, the grand potential takes on a particularly simple form, which contains terms characteristic of spin and density fluctuations as well as terms of the type usually obtained in the Landau theory. A simple model calculation indicates that the approximations made in obtaining the grand potential are probably justified for a system similar to liquid 3He. All quantities appearing in the theory are directly calculable from the microscopic properties of constituent particles in the liquid.