Аннотация:The mass operator of a scalar superpartner of an electron in a stationary crossed fields is calculated. The dependences are investigated of the probability for the phi –> e + lambda process and of the radiative shift of the scalar mass on the magnitude of the parameter of spontaneous breaking of supersymmetry and of the dynamic parameter defining the effect of the external field on the process under consideration. It is shown that allowance for radiative corrections to the mass of scalar electrons in the Faier - Illiopulos model in supersymmetric quantum electrodynamics does not lead to the masses being equal within the framework of perturbation theory.