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Perturbative approach to the hydrogen atom in a strong magnetic field

  • Atoms, Spectra, Radiation
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Abstract

We consider states of the hydrogen atom with the principal quantum number n≤3 and zero magnetic quantum number in a constant homogeneous magnetic field ℋ. The perturbation theory series is summed using the Borel transformation and conformal mapping of the Borel variable. Convergence of the approximate energy eigenvalues and their agreement with the corresponding existing results are observed for external fields up to n 3ℋ/ℋ0∼5, where ℋ0 is the atomic magnetic field. The possibility of restoring the asymptotic behavior of energy levels using perturbation theory coefficients is also discussed.

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Authors and Affiliations

  1. State Scientific Center Institute of Theoretical and Experimental Physics, Moscow, 119259, Russia

    V. A. Gani, A. E. Kudryavtsev, V. A. Lensky & V. M. Weinberg

Authors
  1. V. A. Gani
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  2. A. E. Kudryavtsev
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  3. V. A. Lensky
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  4. V. M. Weinberg
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Additional information

From Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 123, No. 3, 2003, pp. 457–461.

Original English Text Copyright © 2003 by Gani, Kudryavtsev, Lensky, Weinberg.

This article was submitted by the authors in English.

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Gani, V.A., Kudryavtsev, A.E., Lensky, V.A. et al. Perturbative approach to the hydrogen atom in a strong magnetic field. J. Exp. Theor. Phys. 96, 402–406 (2003). https://doi.org/10.1134/1.1567412

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  • DOI: https://doi.org/10.1134/1.1567412

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