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High-order perturbation theory for the hydrogen atom in a magnetic field

  • Atoms, Spectra, Radiation
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Abstract

The states of a hydrogen atom with principal quantum numbers n⩽3 in a constant uniform magnetic field ℋ are studied. Coefficients in the expansion of the energy of these states in powers of ℋ2 up to the 75th order are obtained. Series for the energies of the states and the wave functions are summed to values of ℋ on the order of the atomic magnetic field. A generalization of the moment method upon which these calculations are based can be used in other cases in which a hydrogen atom is perturbed by a potential with a polynomial dependence on the coordinates.

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Authors and Affiliations

  1. Institute of Theoretical and Experimental Physics, 117259, Moscow, Russia

    V. M. Vainberg, V. A. Gani & A. E. Kudryavtsev

  2. Moscow Institute of Engineering Physics, Moscow, Russia

    V. A. Gani

Authors
  1. V. M. Vainberg
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  2. V. A. Gani
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  3. A. E. Kudryavtsev
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Additional information

Zh. Éksp. Teor. Fiz. 113, 550–562 (February 1998)

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Vainberg, V.M., Gani, V.A. & Kudryavtsev, A.E. High-order perturbation theory for the hydrogen atom in a magnetic field. J. Exp. Theor. Phys. 86, 305–311 (1998). https://doi.org/10.1134/1.558457

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  • DOI: https://doi.org/10.1134/1.558457

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