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- W2070202365 abstract "Three things are discussed in this note around two results in the theory of angular momentum. First, certain Clebsch–Gordan coefficients of a compact topological group, which has a representation generalizing the antisymmetric representation [1n] of Sn, are shown to possess an interesting symmetry property. Second, for physical purpose this property is applied to the octahedral group O≈S4 and its double (i.e., covering) group O* (i.e., O*/S2≈O) considered as subgroups of SO3 and SU2, respectively. We take this opportunity for briefly connecting some papers on the representation theory of SU2 recently published in this journal with some previous works by the author on the Wigner–Racah algebra of a noncanonical chain SU2⊃G. Third, the material is used for rationalizing the well-known (j=1) - and less known (j=1/2) -isomorphisms of molecular physics in terms of isoscalar factors for the chains SO3⊂O and SU2⊂O*, respectively." @default.
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- W2070202365 date "1976-06-01" @default.
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- W2070202365 title "Irreducible tensor method for a chain SU<sub>2</sub>⊃⋅⋅⋅⊃ <i>G</i><sup>″</sup>⊃<i>G</i>′⊃<i>G</i> and molecular physics" @default.
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- W2070202365 doi "https://doi.org/10.1063/1.522996" @default.
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