Double Cosets and the Evaluation of Matrix Elements

  • T. H. Seligman
Part of the Lecture Notes in Chemistry book series (LNC, volume 12)


We discuss the use of double coset decompositions for the evaluation of quantum mechanical matrix elements between states symmetry adapted to some finite group. In order to display the essential features we concentrate on the simple case of operators that are invariant under the action of the group, and primitive states that are invariant under the action of a subgroup. Byway of example the normalization matrix element for n-body states symmetry adapted to an IR of Sn are calculated.


Matrix Element Double Coset Primitive State Primitive Function Single Particle Orbital 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • T. H. Seligman
    • 1
  1. 1.Instituto de FisicaUniversidad Nacional Autónoma de MéxicoMexico

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