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The Permutation Group in Physics and Chemistry pp 148–163Cite as

The Permutation Group and the Coupling of n Spin- \( \frac{1}{2} \) Angular Momenta

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Part of the book series: Lecture Notes in Chemistry ((LNC,volume 12))

Abstract

The classic problem of constructing the sharp spin states for n spin- \( \frac{1}{2} \) particles by simultaneously classifying the states by their irreducible transformation properties under both SU(2) and Sn is solved explicitly by recognizing that these states are a special case of the boson polynomials of U(n).

Paper presented by J. D. Louck. Work performed under the auspices of the USERDA

Sponsored in part by NSF.

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References

  1. P.O. Löwdin, Quantum theory of many-particle systems. III. Extension of the Hartree-Fock scheme to include degenerate systems and correlation effects, Phys. Rev. 91 (1955), 1509–1520.

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  6. L. C. Biedenharn and J. D. Louck, Representations of the symmetric group as special cases of the boson polynomials in U(n) (see previous paper).

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Author information

Authors and Affiliations

  1. Group T-7, Theoretical Division, Los Alamos Scientific Laboratory, Los Alamos, New Mexico, 87545, USA

    J. D. Louck

  2. Physics Department, Duke University Durham, North Carolina, 27706, USA

    L. C. Biedenharn

Authors
  1. J. D. Louck
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  2. L. C. Biedenharn
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Editor information

Editors and Affiliations

  1. Fakultät für Chemie, Universität Bielefeld, Universitätsstr, Postfach 8640, 4800, Bielefeld, Germany

    Jürgen Hinze

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© 1979 Springer-Verlag Berlin Heidelberg

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Louck, J.D., Biedenharn, L.C. (1979). The Permutation Group and the Coupling of n Spin- \( \frac{1}{2} \) Angular Momenta. In: Hinze, J. (eds) The Permutation Group in Physics and Chemistry. Lecture Notes in Chemistry, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93124-6_9

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  • DOI: https://doi.org/10.1007/978-3-642-93124-6_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09707-5

  • Online ISBN: 978-3-642-93124-6

  • eBook Packages: Springer Book Archive

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