Relativistic degenerate electron plasma

Details Relativistic degenerate electron plasma Relativistic degenerate electron plasma

Jun 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phla...66..481d&link_type=abstract

Physics Letters, vol. 66A, June 26, 1978, p. 481-483. Research supported by the Science Research Council.

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Degenerate Matter, Dense Plasmas, Dielectric Properties, Electron Plasma, Relativistic Plasmas, White Dwarf Stars, Earth Magnetosphere, Fermi-Dirac Statistics, Hamiltonian Functions, Pulsars

Scientific paper

The dielectric response of a dense relativistic ultradegenerate (T = 0) electron gas is investigated for the case of a zero magnetic field, which is most applicable to white dwarfs. The dielectric response function for the system considered is obtained using a linearized self-consistent field treatment. A neutralizing smeared-out background of positive charge is assumed, an expression for the longitudinal dielectric function is determined via a linearized Hartree approximation, and a dispersion relation is obtained in the long-wavelength region. Conditions for plasma-wave damping are examined along with the electrostatic potential about a test charge immersed in the gas. The dispersion relation is compared with its nonrelativistic counterpart, and a different density dependence of the plasma frequencies is found.

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