A relativistic model of the N-dimensional singular oscillator
S. M. Nagiyev, E. I. Jafarov, M. Y. Efendiyev
Abstract
Exactly solvable N-dimensional model of the quantum isotropic singular oscillator in the relativistic configurational rN-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.
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