Some integrable models in quantized spaces Original Research Article

It is shown that in a quantized space determined by the B2(O(5)=Sp(4)) algebra with three-dimensional parameters of the length L2, momentum (Mc)2, and action S, the spectrum of the Coulomb problem with conserving Runge–Lenz vector coincides with the spectrum found by Schrödinger for the space of constant curvature but with the values of the principal quantum number limited from the side of higher values. The same problem is solved for the spectrum of a harmonic oscillator.