High-Frequency Plasma Conductivity in a Magnetic Field

The rigorous expression for the classical high-frequency conductivity of a fully ionized plasma was obtained earlier through a joint solution, in the plasma limit, of the first two members of the B-B-G-K-Y hierarchy when both are able to change on the same time scale. [C. Oberman, A. Ron, and J. Dawson, Phys. Fluids 5, 1514 (1962)]. That treatment is now extended to include the presence of a uniform magnetic field. Through the use of a Fourier-Bessel transformation, the equation for the pair correlation function is rendered formally identical to that of the no magnetic field case.