The spectrum of a hydrogen atom in a superstrong magnetic field and the Zeldovich effect in the short-range Coulomb problem

We derive formulas that describe the energy spectrum of a hydrogen atom in a superstrong magnetic field for states with various magnetic quantum numbers. Comparison with available numerical calculations of the spectrum indicates that the results obtained are highly accurate. These results can be interpreted as a manifestation of the Zeldovich effect regarding the rearrangement of the hydrogen atomic spectrum under the influence of strong Coulomb potential distortion at short distances in the problem under consideration.