Canonical Quantization of Noncompact Spin System

@article{Oh2019CanonicalQO,
  title={Canonical Quantization of Noncompact Spin System},
  author={Phillial Oh},
  journal={Journal of the Korean Physical Society},
  year={2019},
  volume={74},
  pages={1093-1100}
}
  • P. Oh
  • Published 5 January 2019
  • Physics, Mathematics
  • Journal of the Korean Physical Society
We consider spin system defined on the coadjoint orbit with noncompact symmetry and investigate the quantization. Classical spin with noncompact SU(N, 1) symmetry is first formulated as a dynamical system and the constraint analysis is performed to reduce the system from the group space to the coadjoint orbit which is a symplectic manifold with Kähler structure. We achieve this by solving the constraint directly. It is shown that the dynamical variables describing the noncompact spins can be… 

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