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Geometric quantization on homogeneous spaces and the meaning of `inequivalent' quantizations

High Energy Physics - Theory 2009-10-28 v1 General Relativity and Quantum Cosmology Quantum Algebra

Abstract

Consideration of the geometric quantization of the phase space of a particle in an external Yang-Mills field allows the results of the Mackey-Isham quantization procedure for homogeneous configuration spaces to be reinterpreted. In particular, a clear physical interpretation of the `inequivalent' quantizations occurring in that procedure is given.

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Cite

@article{arxiv.hep-th/9406057,
  title  = {Geometric quantization on homogeneous spaces and the meaning of `inequivalent' quantizations},
  author = {M. A. Robson},
  journal= {arXiv preprint arXiv:hep-th/9406057},
  year   = {2009}
}

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8 pages