The effect of a strong light field on the spectrum shift of a hydrogen-like atom

Calculation results are presented for the transformation of the spectra of a hydrogen-like atom in an external nonhomogeneous field in the axisymmetric case and in plane geometry. Numerical results reported for prototype problems demonstrate the efficiency of the proposed algorithms. This research was partially support by grant No. 5142 of the program “Russian Universities: Basic Research.” Translated from Chislennye Metody v Matematicheskoi Fizike, Moscow State University, pp. 76–84, 1998.