(1) Joint Institute for Nuclear Research, Dubna, Russia;(2) Saratov State University, Saratov, Russia;(3) Institute of Mathematics and Informatics, BAS, Sofia, Bulgaria;(4) Yerevan State University, Yerevan, Armenia
Abstract:
A new effective method of calculating wave functions of discrete and continuous spectra of a hydrogen atom in a strong magnetic field is developed on the basis of the adiabatic approach to parametric eigenvalue problems in spherical coordinates. The two-dimensional spectral problem for the Schrödinger equation at a fixed magnetic quantum number and parity is reduced to a spectral parametric problem for a one-dimensional angular equation and a finite set of ordinary second-order radial differential equations. The results are in good agreement with the photoionization calculations by other authors and have a true threshold behavior.