Ionization from a short-range potential under the action of electromagnetic fields of a complex configuration

A transcendent equation for complex energy is derived on the basis of the exactly soluble 3D model of short-range potential and the time-dependent Green's function in a strong electromagnetic field representing the combination of a constant magnetic field and the field of a circularly polarized wave. The parameters of the quasistationary states of an electron in $\delta$ potential are calculated with account taken of the action of a strong external field of complex configuration. The possibility of stabilizing the decay of the bound states of spinor and scalar particles by a strong magnetic field is analyzed. The results require revision of the commonly accepted view on the stabilizing role of a strong magnetic field in the ionization of atoms.