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On Quantization of Polynomial Momentum Observables

High Energy Physics - Theory 2009-10-31 v1

Abstract

The paper is devoted to quantization of polynomial momentum observables in the cotangent bundle of a smooth manifold. A quantization procedure is proposed allowing to quantize a wide class of functions which are polynomials of any order in momenta. In the last part of the paper the quantum mechanics of scalar particle in curved space-time is studied with the use of proposed approach.

Keywords

Cite

@article{arxiv.hep-th/9901058,
  title  = {On Quantization of Polynomial Momentum Observables},
  author = {Dmitry A. Kalinin},
  journal= {arXiv preprint arXiv:hep-th/9901058},
  year   = {2009}
}

Comments

LaTeX 2.09, 8 p

R2 v1 2026-07-22T16:13:49.299Z