Abstract
The response of a plasma in a magnetic field to an electric field oscillating with frequencies higher than the collision frequency is investigated in the unified theory without any cut-off procedure. A general form of the electric current due to the applied field is obtained and the conductivity is calculated. With use of the connection formula the exact Coulomb logarithms are obtained. The Coulomb logarithm in the components of the conductivity perpendicular to the magnetic field differs from the one in the parallel component. Some limiting cases are treated in detail.