Geodesic
Scattering in conformally invariant quantum mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 2, pp. 216-221

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The $S$ matrix in conformally invariant quantum mechanics is determined by the multiple valuedness of the representation of the conformal group (i.e., by the operator that realizes conformat rotation through angle $2\pi$). 
@article{TMF_1986_66_2_a5,
     author = {A. I. Oksak},
     title = {Scattering in conformally invariant quantum mechanics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {216--221},
     publisher = {mathdoc},
     volume = {66},
     number = {2},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_66_2_a5/}
}
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A. I. Oksak. Scattering in conformally invariant quantum mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 2, pp. 216-221. http://geodesic.mathdoc.fr/item/TMF_1986_66_2_a5/