Combined Stark-Zeeman effect for relativistic hydrogen-like ions moving in a transverse electric field and under planar channeling conditions

The motion of the ultra-relativistic hydrogen-like ion is considered in the transverse (orthogonal to ion velocity) electric field. In the rest frame of this ion both electric and magnetic fields exist. The combined influence of these fields on the electronic energy levels of the ion is investigated. It is shown that at high kinetic energy of the ion the electronic energy levels are shifted and are split not only due to the electric field but also due to the magnetic one. This phenomenon is named "the combined Stark-Zeeman effect". The influence of this effect on the electronic energy levels of planar channeled ions is also discussed.