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The Classical Limit of Dynamics for Spaces Quantized by an Action of ${\Bbb R}^{\lowercase{d}}$ |
Canad. J. Math. 49(1997), 160-174
Published:1997-02-01
Printed: Feb 1997
Printed: Feb 1997
- Marc A. Rieffel
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 46l55 81S30 - Phase-space methods including Wigner distributions, etc. |