A relativistic model of the $N$-dimensional singular oscillator

Nagiyev, S. M.; Jafarov, E. I.; Efendiyev, M. Y.

A relativistic model of the $N$-dimensional singular oscillator

Authors

Nagiyev, S. M.

Jafarov, E. I.

Efendiyev, M. Y.

Description

Exactly solvable $N$-dimensional model of the quantum isotropic singular oscillator in the relativistic configurational $\vec r_N$-space is proposed. It is shown that through the simple substitutions the finite-difference equation for the $N$-dimensional singular oscillator can be reduced to the similar finite-difference equation for the relativistic isotropic three-dimensional singular oscillator. We have found the radial wavefunctions and energy spectrum of the problem and constructed a dynamical symmetry algebra.
8 pages, accepted for publication in J. Phys. A