Geodesic
Partial wave analysis based on a~complex vector parametrization
Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 3, pp. 322-331

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A partial analysis of one- and two-particle states is made on the basis of a complex vector parametrization of the Larentz group. In the given approach the transformations of the littte group are interpreted as rotations in a corresponding complex three-dimensional space of parameters of this group; this interpretation makes it possible to construct conveniently the states of a two-particle system with a definite value of the total angular momentum and its projection. This construction is used to decompose the $S$ matrix with respect to partial waves. 
@article{TMF_1971_7_3_a3,
     author = {E. E. Tkharev and F. I. Fedorov},
     title = {Partial wave analysis based on a~complex vector parametrization},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {322--331},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_7_3_a3/}
}
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E. E. Tkharev; F. I. Fedorov. Partial wave analysis based on a~complex vector parametrization. Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 3, pp. 322-331. http://geodesic.mathdoc.fr/item/TMF_1971_7_3_a3/