The Wigner--Eckart theorem and covariant operators
Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 3, pp. 327-342

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We study matrix elements that depend on functions in the Schwartz space of operators that are covariant with respect to a group (operators of the type of scalar field operators). We show that the matrix elements of such operators can be factorized in a weak sense into the Clebsch–Gordan coefficients of the group and reduced matrix elements.
@article{TMF_1972_13_3_a3,
     author = {A. U. Klimyk},
     title = {The {Wigner--Eckart} theorem and covariant operators},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {327--342},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_13_3_a3/}
}
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A. U. Klimyk. The Wigner--Eckart theorem and covariant operators. Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 3, pp. 327-342. http://geodesic.mathdoc.fr/item/TMF_1972_13_3_a3/