Classical and quantum integrability in 3D systems
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
In this contribution, we discuss three situations in which complete integrability of a three dimensional classical system and its quantum version can be achieved under some conditions. The former is a system with axial symmetry. In the second, we discuss a three dimensional system without spatial symmetry which admits separation of variables if we use ellipsoidal coordinates. In both cases, and as a condition for integrability, certain conditions arise in the integrals of motion. Finally, we study integrability in the three dimensional sphere and a particular case associated with the Kepler problem in .
Cite
@article{arxiv.0711.4915,
title = {Classical and quantum integrability in 3D systems},
author = {M. Gadella and J. Negro and G. P. Pronko and M. Santander},
journal= {arXiv preprint arXiv:0711.4915},
year = {2009}
}
Comments
plenary talk on the Conference QTS-5, July 2007, Valladolid, Spain