B R Judd 1987 J. Phys. A: Math. Gen. 20 L343 doi:10.1088/0305-4470/20/6/001
B R Judd
Show affiliationsIt is shown that a 6-j symbol for SO(2l+1) in which four primitive spinor representations (1/21/2. . .1/2) appear is directly related to an SO(3) rotation matrix possessing a rank of l+1/2 and characterised by the Euler angles (0, 1/2 pi , 0). An interpretation is given in terms of a rotation operator exp(1/2i pi Ty) acting in the combined spin and quasispin space of an atomic l shell, whose states mod T, MT) are defined in a quasiparticle scheme in which four coupled spinors (1/21/2. . .1/2) are used.
02.20.Qs General properties, structure, and representation of Lie groups
81R25 Spinor and twistor methods (See also 32L25)
Issue 6 (21 April 1987)
B R Judd 1987 J. Phys. A: Math. Gen. 20 L343
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