Journal of Mathematical Physics

Quantization of a general dynamical system

Shelomo Izhaq Ben-Abraham, A. Lonke

Published Dec 1, 1973• 12 citations

Abstract

Invariance implies that the momentum operator should be represented by the covariant derivative. For a general dynamical system, both covariant canonical and path integral quantization yield in the Schrödinger equation a correction term proportional to the curvature. Earlier erroneous calculations are hereby corrected and reconciled.

DOI: 10.1063/1.1666273

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