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# The Classical Limit of Dynamics for Spaces Quantized by an Action of ${\Bbb R}^{\lowercase{d}}$

Published:1997-02-01
Printed: Feb 1997
• Marc A. Rieffel
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## Abstract

We have previously shown how to construct a deformation quantization of any locally compact space on which a vector group acts. Within this framework we show here that, for a natural class of Hamiltonians, the quantum evolutions will have the classical evolution as their classical limit.
 MSC Classifications: 46L60 - Applications of selfadjoint operator algebras to physics [See also 46N50, 46N55, 47L90, 81T05, 82B10, 82C10] 46l55 - unknown classification 46l5581S30 - Phase-space methods including Wigner distributions, etc.