Quantization on Co-adjoint Group Orbits and Second Class Constraints

Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 111)


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.


Hilbert Space Phase Space Poisson Bracket Symplectic Form Geometric Quantization 
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Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Bulgarian Academy of SciencesInstitute of Nuclear Research and Nuclear EnergySofiaBulgaria

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