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

  • J. D. Louck
  • L. C. Biedenharn
Part of the Lecture Notes in Chemistry book series (LNC, volume 12)


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).


Angular Momentum Irreducible Representation Basis Vector Symmetric Group Permutation Group 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • J. D. Louck
    • 1
  • L. C. Biedenharn
    • 2
  1. 1.Group T-7, Theoretical DivisionLos Alamos Scientific LaboratoryLos AlamosUSA
  2. 2.Physics DepartmentDuke University DurhamNorth CarolinaUSA

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