Optical absorption spectrum of hydrogenic atoms in a strong magnetic field

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Abstract

Energy levels, wave functions, and oscillator strengths are calculated for a hydrogenic atom in a uniform, static magnetic field. The results are exact in the strong field limit. The intensity of optical transitions from the ground state to states in the energy continuum is obtained as an explicit function of the energy. The results are applied to a discussion of the magneto-optical absorption spectrum of excitons in semiconductors.

References (12)

  • Y. Yafet et al.

    J. Phys. Chem. Solids

    (1956)
  • R.F. Wallis et al.

    J. Phys. Chem. Solids

    (1958)
  • R.J. Elliott et al.

    J. Phys. Chem. Solids

    (1960)
  • W.S. Boyle et al.

    J. Phys. Chem. Solids

    (1961)
  • D.F. Edwards et al.

    Phys. Rev.

    (1960)
  • G. Dbesselhaus et al.

    Phys. Rev.

    (1955)
There are more references available in the full text version of this article.

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    Advances in atomic structure theory were therefore leaning toward solid-state applications. It was only in 1961 that Hasegawa and Howard (1961) calculated the spectrum and oscillatoi strengths of the hydrogen atom in a uniform strong magnetic field and showed that in the limit of infinite field strengths, a simplified picture is obtained wherein the nucleus becomes the perturbation to the interaction of the electron with the field. This was the very first study to obtain the spectrum of hydrogen in strong magnetic fields.

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A preliminary report on this work is presented in the Bull. Amer. Phys. Soc. (ser. 2) 5, 178 (1960).

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