Description of a relativistic electron in a quantizing magnetic field. Transverse transport coefficients of an electron gas

Many relations needed for calculating elementary processes with the participation of relativistic electrons in a quantizing magnetic field in the Landau gauge for the vector potential are obtained (properties of the wave functions, matrix elements, and quadratic combinations of them). Simple expressions are found for the transverse transport coefficients in a relativistic electron gas with quaatizing magnetic field that can be used in solid-state physics and astrophysics.