Average field of a relativistic electron in a Landau level

An expression is found for the first correction to the average field produced by a relativistic electron moving in a constant and homogeneous magnetic field. It has electric and magnetic components which do not depend on the time but have a complicated dependence on the distance to the direction axis of the magnetic field. The obtained expressions are analyzed as functions of the distance to the axis and also of the electron state.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 19–22, February, 1981.We thank Professor V. G. Bagrov for his interest in the work and valuable discussions of the results.