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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, 46l55, 81S30 show english descriptions Applications of selfadjoint operator algebras to physics [See also 46N50, 46N55, 47L90, 81T05, 82B10, 82C10]
unknown classification 46l55
Phase-space methods including Wigner distributions, etc.
46L60 - Applications of selfadjoint operator algebras to physics [See also 46N50, 46N55, 47L90, 81T05, 82B10, 82C10]
46l55 - unknown classification 46l55
81S30 - Phase-space methods including Wigner distributions, etc.
 

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