High-frequency expansion of relativistic classical plasma dielectric tensor

Abstract

A high-frequency sum-rule expansion is derived for the transverse elements of the relativistic classical plasma dielectric tensor in an isotropic system. The relativistic results are different from the nonrelativistic ones by a factor of 〈γ ⁻¹(1 −υ ²/3c ²)〉 for Ω ^μν₂ (k) and longitudinal plasmon and transverse photon frequencies, and by 〈γ ⁻²(1−2υ ²/3c ²)〉 for Ω ^μν₂ (k).