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The Classical Limit of Dynamics for Spaces Quantized by an Action of ℝd

Published online by Cambridge University Press:  20 November 2018

Marc A. Rieffel
Marc A. Rieffel*
Affiliation:
Department of Mathematics, University of California, Berkeley, CA, USA 94720-3840 e-mail: rieffel@math.berkeley.edu
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Abstract

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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.

Keywords

46L6046l5581S30
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 49 , Issue 1 , 01 February 1997 , pp. 160 - 174
Copyright
Copyright © Canadian Mathematical Society 1997

References

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