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A Noncommuting-generator approach to molecular symmetry

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Part of the book series: Structure and Bonding ((STRUCTURE,volume 68))

Abstract

A novel method of treating point group symmetry is presented. It is based on finding common eigenfunctions to sets of non-commuting operators, the operators being suitably chosen generators for the point groups. The character tables of the conventional method are replaced by eigenvalue tables, that are no more complex than character tables but allow straight forward calculation of matrixelements (Wigner-Eckart theorem). Half-integer spin is treated as simply as integer spin, without introducing the socalled double groups.

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© 1987 Springer-Verlag

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Sonnich Mortensen, O. (1987). A Noncommuting-generator approach to molecular symmetry. In: Theoretical Approaches. Structure and Bonding, vol 68. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-18058-3_1

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  • DOI: https://doi.org/10.1007/3-540-18058-3_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18058-6

  • Online ISBN: 978-3-540-47730-3

  • eBook Packages: Springer Book Archive

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