Some integrable models in quantized spaces

Details Some integrable models in quantized spaces Some integrable models in quantized spaces

2002-03-24

arxiv.org/abs/hep-th/0203225v1

Nucl.Phys. B640 (2002) 469-480

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX

Scientific paper

10.1016/S0550-3213(02)00591-6

It is shown that in a quantized space determined by the $B_2\quad (O(5)=Sp(4))$ algebra with three dimensional parameters of the length $L^2$, momentum $(Mc)^2$, and action $S$, the spectrum of the Coulomb problem with conserving Runge-Lenz vector coincides with the spectrum found by Schr\"odinger 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.

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