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Lie Groups and the Jahn-Teller Effect for a Color Center

  • Atomic, Molecular, Nuclear, Solid State Physics
  • Conference paper
  • First Online:
Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 50))

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Abstract

The F+ center in CaO consists of an electron trapped in an oxygen vacancy. The interaction between the electron and the even normal modes of the surrounding octahedron of calcium ions can be represented by an approximate Hamiltonian possessing an oscillator term of U(5) symmetry and an interaction term of O(3) symmetry. To separate repeated angular-momentum quantum numbers L in the symmetric irreducible representations of O(5), four independent methods have been studied.A remarkable coalescence of these approaches in the case of L=6 suggests a natural way to make the separation.

Work supported in part by the U. S. National Science Foundation

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Authors and Affiliations

  1. The Johns Hopkins University, Baltimore, Maryland

    B. R. Judd

Authors
  1. B. R. Judd
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A. Janner T. Janssen M. Boon

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© 1976 Springer-Verlag

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Judd, B.R. (1976). Lie Groups and the Jahn-Teller Effect for a Color Center. In: Janner, A., Janssen, T., Boon, M. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07789-8_29

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  • DOI: https://doi.org/10.1007/3-540-07789-8_29

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07789-3

  • Online ISBN: 978-3-540-38252-2

  • eBook Packages: Springer Book Archive

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