Spin-Independent Oscillations of a Degenerate Electron Liquid

Abstract

We derive a dispersion relation valid for arbitrary wavelength of the spin-independent oscillations of a electron fluid. Analytic expressions for the long-wavelength limit can be obtained quite easily. In addition, results for all wavelengths can be obtained numerically for the situation in which the Fermi-liquid interaction is approximated by a finite series of spherical harmonics.