Abstract
Quantum versions of the hydrogen atom and the harmonic oscillator are studied on non Euclidean spaces of dimension N. integrals, of arbitrary order, are constructed via a multi-dimensional version of the factorization method, thus confirming the conjecture of Riglioni (2013 J. Phys. A: Math. Theor. 46 265207). The systems are extended via coalgebra extension of representations, although not all integrals are expressible in these generators. As an example, dimensional reduction is applied to four-dimensional systems to obtain extension and new proofs of the superintegrability of known families of Hamiltonians.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have