Proceedings of the International Conference on Geometry, Integrability and Quantization

Another Perspective on the Relation Between Classical and Quantum Integrability

Jean-Claude Zambrini and Nenad Manojlovic

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.

Article information

Source
Proceedings of the Third International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Gregory L. Naber, eds. (Sofia: Coral Press Scientific Publishing, 2002), 442-453

Dates
First available in Project Euclid: 12 June 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1434145488

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

Mathematical Reviews number (MathSciNet)
MR1884866

Zentralblatt MATH identifier
1090.81032

Citation

Zambrini, Jean-Claude; Manojlovic, Nenad. Another Perspective on the Relation Between Classical and Quantum Integrability. Proceedings of the Third International Conference on Geometry, Integrability and Quantization, 442--453, Coral Press Scientific Publishing, Sofia, Bulgaria, 2002. doi:10.7546/giq-3-2002-442-453. https://projecteuclid.org/euclid.pgiq/1434145488


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