Superintegrability, isochronicity, and quantum harmonic behavior
Gravel, Simon
arXiv, 0310004 / Harvested from arXiv
Text on arXiv
We discuss the properties of superintegrable Hamiltonian systems, in particular those that admit separation of variables in cartesian coordinates. We show that the superintegrability of such potentials is equivalent to the isochronicity of the separated potentials. We use this fact to get a new insight into an old question about the relation between quantum and classical harmonic behavior.
Publié le : 2003-10-03
Classification:  Mathematical Physics,  Mathematics - Dynamical Systems,  37J35,  81R12 
@article{0310004,
     author = {Gravel, Simon},
     title = {Superintegrability, isochronicity, and quantum harmonic behavior},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0310004}
}

Gravel, Simon. Superintegrability, isochronicity, and quantum harmonic behavior. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0310004/