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Excitons in a homogeneous magnetic field: A modified perturbation approach

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Zeitschrift für Physik B Condensed Matter

Abstract

We propose a specially adapted perturbational scheme to calculate the energies and weve functions of excitons in a homogeneous magnetic fieldB. The strength ofB is arbitrary. In contrast to involved variational calculations, our final results are entirely analytical and may serve as a starting point for further applications. As for the energies, we find good agreement with previous work. Moreover we show that the well-known small-B and large-B asymptotics for the exact eigenvalues areboth contained in our unifying formulas as limiting cases.

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Authors and Affiliations

  1. Institut für Physik, Universität Dortmund, Postfach 500500, D-4600, Dortmund 50, Federal Republic of Germany

    B. Gerlach & D. Richter

  2. Institut für Theoretische Physik II, Universität Münster, Wilhelm-Klemm Strasse 10, D-4400, Münster, Federal Republic of Germany

    J. Pollmann

Authors
  1. B. Gerlach
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  2. D. Richter
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  3. J. Pollmann
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Gerlach, B., Richter, D. & Pollmann, J. Excitons in a homogeneous magnetic field: A modified perturbation approach. Z. Physik B - Condensed Matter 66, 419–425 (1987). https://doi.org/10.1007/BF01303891

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  • DOI: https://doi.org/10.1007/BF01303891

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