Some ring-shaped potentials as a generalized 4-D isotropic oscillator. Periodic orbits

Details Some ring-shaped potentials as a generalized 4-D isotropic oscillator. Periodic orbits Some ring-shaped potentials as a generalized 4-D isotropic oscillator. Periodic orbits

Jul 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010cemda.107..337t&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 107, Issue 3, pp.337-352

Astronomy and Astrophysics

Astronomy

4

4-D Isotropic Oscillators, Generalized Hartmann Potential, Ring-Shaped Systems, Pöschl-Teller Potential, Superintegrability

Scientific paper

A generalized integrable biparametric family of 4-D isotropic oscillators is proposed. It allows to treat in a unified way, Pöschl-Teller, Hartmann and other ring-shaped systems. This approach, based in the use of two canonical extensions, helps to simplify the studies of classical aspects of those systems. As an illustration, an analysis of the periodic solutions of those system is presented.

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