Strict deformation quantization of a particle in external gravitational and Yang-Mills fields

@article{Landsman1993StrictDQ,
  title={Strict deformation quantization of a particle in external gravitational and Yang-Mills fields},
  author={Nicolaas P. Landsman},
  journal={Journal of Geometry and Physics},
  year={1993},
  volume={12},
  pages={93-132}
}
  • N. P. Landsman
  • Published 1 August 1993
  • Mathematics
  • Journal of Geometry and Physics
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69 Citations
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References

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The quantum algebra of observables of a particle moving on a homogeneous configuration space Q = G/H, the transformation group C*-algebra C* (G, G/H), is deformed into its classical counterpart C0…

INDUCED REPRESENTATIONS, GAUGE FIELDS, AND QUANTIZATION ON HOMOGENEOUS SPACES

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Quantization is defined as the act of assigning an appropriate C*-algebra to a given configuration space Q, along with a prescription mapping self-adjoint elements of into physically interpretable…

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Deformation quantization of Heisenberg manifolds

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Wong [14] introduced equations of motion for a spin 0 particle in a Yang-Mills field which was widely accepted among physicists. It is shown that these are equivalent to the various mathematical…
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