The grid solution of the Schrodinger equation allows one to obtain highly accurate values of the binding energy E B of low-lying states of the hydrogen atom in a homogeneous magnetic field B of arbitrary strength. The relative precision of E B in the grid calculations presented was 10 -3 -10 -6 for all the states and fields that appeared in the work by Rosner et al. For some states the precision reaches 10 -7 -10 -8 . The results of the calculations allows the author to fill all the gaps in the results of the work mentioned above for B>or=4.7*10 2 T and to improve the precision of a number of results in the intermediate field region. The computational method is described. The form of the results, set of states and field strengths are as in Rosner et al.
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Mikhail Ivanov (1988) studied this question.
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