Integrable generalizations of oscillator and Coulomb systems via action-angle variables

Details Integrable generalizations of oscillator and Coulomb systems via action-angle variables Integrable generalizations of oscillator and Coulomb systems via action-angle variables

2011-08-25

arxiv.org/abs/1108.5189v2

Physics

High Energy Physics

High Energy Physics - Theory

10 pages; v2: formulae for hidden integrals and two refs. added, typos fixed, published version

Scientific paper

Oscillator and Coulomb systems on N-dimensional spaces of constant curvature can be generalized by replacing their angular degrees of freedom with a compact integrable (N-1)-dimensional system. We present the action-angle formulation of such models in terms of theradial degree of freedom and the action-angle variables of the angular subsystem. As an example, we construct the spherical and pseudospherical generalization of the two-dimensional superintegrable models introduced by Tremblay, Turbiner and Winternitz and by Post and Winternitz. We demonstrate the superintegrability of these systems and give their hidden constant of motion.

Affiliated with

Also associated with

No associations

Rating

Integrable generalizations of oscillator and Coulomb systems via action-angle variables does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Integrable generalizations of oscillator and Coulomb systems via action-angle variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrable generalizations of oscillator and Coulomb systems via action-angle variables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-501290