On Quantization of Polynomial Momentum Observables

Details On Quantization of Polynomial Momentum Observables On Quantization of Polynomial Momentum Observables

1999-01-14

arxiv.org/abs/hep-th/9901058v1

Rept.Math.Phys. 43 (1999) 147-155

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 2.09, 8 p

Scientific paper

10.1016/S0034-4877(99)80023-8

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.

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