The computer arithmetic of extended precision has been successfully applied to the problem of a hydrogen atom in an external magnetic field. The solution of the problem was obtained in the analytical form as a double series in nonseparable coordinates. Quantitative results were obtained by direct numerical summation of the series using software-emulated arithmetic of extended precision. Technical aspects of the numerical technique and its possible applications to other practical problems are discussed.
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Kravchenko et al. (1997) studied this question.
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