On Quantization of Polynomial Momentum Observables

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.

LaTeX 2.09, 8 p

References in corpus (2)

• Obstructions to Quantization
• Obstruction Results in Quantization Theory

Cited by in corpus (1)

• Unfinished History and Paradoxes of Quantum Potential. I. Non-Relativistic Origin, History and Paradoxes