Construction of classical superintegrable systems with higher order integrals of motion from ladder operators
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematics, University of York, Heslington, York YO10 5DD (United Kingdom)
We construct integrals of motion for multidimensional classical systems from ladder operators of one-dimensional systems. This method can be used to obtain new systems with higher order integrals. We show how these integrals generate a polynomial Poisson algebra. We consider a one-dimensional system with third order ladder operators and found a family of superintegrable systems with higher order integrals of motion. We obtain also the polynomial algebra generated by these integrals. We calculate numerically the trajectories and show that all bounded trajectories are closed.
- OSTI ID:
- 21362177
- Journal Information:
- Journal of Mathematical Physics, Vol. 51, Issue 7; Other Information: DOI: 10.1063/1.3448925; (c) 2010 American Institute of Physics; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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