Superintegrable Systems with a Third Order Integrals of Motion
Mathematical Physics
2009-11-13 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
Two-dimensional superintegrable systems with one third order and one lower order integral of motion are reviewed. The fact that Hamiltonian systems with higher order integrals of motion are not the same in classical and quantum mechanics is stressed. New results on the use of classical and quantum third order integrals are presented in Section 5 and 6.
Cite
@article{arxiv.0711.4783,
title = {Superintegrable Systems with a Third Order Integrals of Motion},
author = {Ian Marquette and Pavel Winternitz},
journal= {arXiv preprint arXiv:0711.4783},
year = {2009}
}
Comments
To appear in J. Phys A: Mathematical and Theoretical (SPE QTS5)