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Quantization of a general dynamical system

1973/12/01 by S. I. Ben-Abraham, Shelomo I. Ben-Abraham, A. Lonke
Physics and Astronomy · Mathematics · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Numerical methods for differential equations

paper · doi:10.1063/1.1666273

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.

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