We obtain the energy spectrum for the 14 lowest states of the hydrogen atom in a strong magnetic field B. Emphasis is placed on values of B≈10⁶-10⁸ G, characteristic of those found in magnetic white dwarfs. Our results for the ionization energy of the ground state are significantly better than those of Cohen, Lodenquai, and Ruderman for fields 7×10¹¹ G.
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Smith et al. (1972) studied this question.