The highly accurate series solution for a hydrogen atom in a uniform magnetic field of arbitrary strength is obtained. It is derived in the form of a power series in two variables, the radius and the sine of the cone angle, with explicit recurrent relations for the coefficients of the power series. As an illustration, a brief list of energy values with accuracy 10^-12 hartree for the magnetic field 0<B/(mₑ²e³c/³)≤4000 and pictures of selected anticrossings in the chaotic region of the spectrum are presented.
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Kravchenko et al. (1996) studied this question.
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