| Abstract: | 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.In memory of Mikhail Konstantinovich PolivanovA. M. Razmadze Tbilisi Mathematics Institute, Georgian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 93, No. 2, pp. 231–248, November, 1992. |
