Ionization of atoms in electric and magnetic fields and method of imaginary time

Paper develops a quasi-classical theory of ionization of atom and of negative ions under the effect of constant and homogeneous electrical and magnetic fields with regard to Coulomb interaction between electron and atomic frame at channeling. A case of crossed fields (Lorentz ionization), as well as, the limit of a strong magnetic field are studied particularly. The obtained analytical formulae hold true for E and H arbitrary fields which are small ones in contrast to the specific interatomic fields. The basic results of the study were obtained using the imaginary time method (ITM) where classical equations of motion but with purely imaginary time were used to describe channeling. Paper points out the possibility to generalize ITM for relativistic case and for the state with above or under zero angular momentum