Obstructions to Quantization

@article{Gotay1998ObstructionsTQ,
  title={Obstructions to Quantization},
  author={Mark J. Gotay},
  journal={Journal of Nonlinear Science},
  year={1998},
  volume={6},
  pages={171-216}
}
  • M. J. Gotay
  • Published 10 September 1998
  • Mathematics
  • Journal of Nonlinear Science
Quantization is not a straightforward proposition, as demonstrated by Groenewold’s and Van Hove’s discovery, more than fifty years ago, of an “obstruction” to quantization. Their “no-go theorems” assert that it is in principle impossible to consistently quantize every classical polynomial observable on the phase space R 2n in a physically meaningful way. Similar obstructions have been recently found for S 2 and T*S 1, buttressing the common belief that no-go theorems should hold in some… 

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