Mass shift of a classical charge and shift of the cyclotron frequency near conducting walls
Lebedev S. L.
The effect of a conducting wall on the self-energy of a charge executing a finite (or infinite) motion in a magnetic (or electric) field is analyzed. The dependence of the shift on the integral of the unperturbed motion in a magnetic field (vL) is not limited by the requirement vL <ξ 1. This dependence can be used to determine the relationship between the mass shift and the shift of the cyclotron frequency induced by the wall. Expressions derived here contain "retarded" and "unretarded" asymptotic expressions for the shift as particular limiting cases.