A relativistic model of the isotropic three-dimensional singular oscillator

Details A relativistic model of the isotropic three-dimensional singular oscillator A relativistic model of the isotropic three-dimensional singular oscillator

2004-11-16

arxiv.org/abs/math-ph/0411054v1

Phys.Lett.A334:260-266,2005

Physics

Mathematical Physics

11 pages, 6 figures, accepted for publication in Physics Letters A

Scientific paper

10.1016/j.physleta.2004.11.021

Exactly solvable model of the quantum isotropic three-dimensional singular
oscillator in the relativistic configurational $\vec r$-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.

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