A relativistic model of the isotropic three-dimensional singular oscillator

Abstract

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.

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

References in corpus (4)

• Bound States of the Dirac Equation for a Class of Effective Quadratic Plus Inversely Quadratic Potentials
• Exact solution of the time-dependent harmonic plus an inverse harmonic potential with a time-dependent electromagnetic field
• The Relativistic Linear Singular Oscillator
• A relativistic superalgebra in a generalized Schroedinger picture

Cited by in corpus (3)

• On a dynamical symmetry group of the relativistic linear singular oscillator
• First and second-order relativistic corrections to the two and higher-dimensional isotropic harmonic oscillator obeying the spinless Salpeter equation
• A relativistic model of the $N$-dimensional singular oscillator