Geodesic
Symmetry groups in the extended quantization scheme
Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 2, pp. 231-248

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An extended quantization scheme that in essence is similar to geometric quantization is considered. The phase space is extended, and the methods of quantizing constrained systems are used. A condition for choosing coordinates in which the quantization preserves the symmetry group is obtained. A mechanism for determining the scalar product in Dirac's quantization method is proposed. 
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     author = {G. P. Jorjadze and I. T. Sarishvili},
     title = {Symmetry groups in the extended quantization scheme},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {231--248},
     publisher = {mathdoc},
     volume = {93},
     number = {2},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_93_2_a3/}
}
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G. P. Jorjadze; I. T. Sarishvili. Symmetry groups in the extended quantization scheme. Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 2, pp. 231-248. http://geodesic.mathdoc.fr/item/TMF_1992_93_2_a3/