A relativistic model of the isotropic three-dimensional singular oscillator
Mathematical Physics
2011-07-19 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
Exactly solvable model of the quantum isotropic three-dimensional singular oscillator in the relativistic configurational -space is proposed. We have found the radial wavefunctions, which are expressed through the continuous dual Hahn polynomials and energy spectrum for the model under consideration. It is shown that they have the correct non-relativistic limits.
Keywords
Cite
@article{arxiv.math-ph/0411054,
title = {A relativistic model of the isotropic three-dimensional singular oscillator},
author = {S. M. Nagiyev and E. I. Jafarov and R. M. Imanov and L. Homorodean},
journal= {arXiv preprint arXiv:math-ph/0411054},
year = {2011}
}
Comments
11 pages, 6 figures, accepted for publication in Physics Letters A