Influence of trajectory-dependent Stark and Zeeman effects on resonant coherent excitation of relativistic hydrogen-like ions channeled in a crystal

The planar channeling of ultra-relativistic heavy hydrogen-like ions is considered. In the rest frame of a channeled ion the magnetic and electric fields act on the orbital electron. The influence of these fields leads to the Stark and Zeeman effects of energy levels of orbital electron, and thus changes the conditions of resonant coherent excitation of an ion. In this work the theory of combined Stark-Zeeman effect (when the influence of electric and magnetic fields is comparable) is developed. Also the theoretical model of resonant coherent excitation in this case is suggested.