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.
Citation:
G. P. Jorjadze, I. T. Sarishvili, “Symmetry groups in the extended quantization scheme”, TMF, 93:2 (1992), 231–248; Theoret. and Math. Phys., 93:2 (1992), 1239–1250