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VOL. 3 | 2002 Another Perspective on the Relation Between Classical and Quantum Integrability
Jean-Claude Zambrini, Nenad Manojlovic

Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber

Abstract

We describe a framework suggesting how to “deform” in Planck’s constant $h$ the classical concept of integrability. The key point is to use well defined counterparts of Feynman’s measure on the space of paths of the mechanical system. Then we introduce the associated deformation of quantum conservation laws. The method is tested on elementary systems and provide, indeed, more information than expected.

Information

Published: 1 January 2002
First available in Project Euclid: 12 June 2015

zbMATH: 1090.81032
MathSciNet: MR1884866

Digital Object Identifier: 10.7546/giq-3-2002-442-453

Rights: Copyright © 2002 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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