## Proceedings of the International Conference on Geometry, Integrability and Quantization

### Another Perspective on the Relation Between Classical and Quantum Integrability

#### 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

Dates
First available in Project Euclid: 12 June 2015

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