Abstract

A two-dimensional superintegrable system of singular oscillators with internal degrees of freedom is identified and exactly solved. Its symmetry algebra is seen to be the dual −1 Hahn algebra which describes the bispectral properties of the polynomials with the same name that are essentially the Clebsch–Gordan coefficients of the superconformal algebra osp(1|2). It is also shown how this superintegrable model is obtained under dimensional reduction from a set of uncoupled harmonic oscillators in four dimensions.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call