Quantization on Co-adjoint Group Orbits and Second Class Constraints
We make a comparison between two schemes for quantization of dynamical systems with non-trivial phase space—the geometric quantization based on co-adjoint group orbits and second class constraints method. It is shown that the Hilbert space of a system with second class constraints always has, contrary to the geometric quantization, infinite dimension.
KeywordsHilbert Space Phase Space Poisson Bracket Symplectic Form Geometric Quantization
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