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

S. M. Nagiyev·E. I. Jafarov·M. Y. Efendiyev
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Abstract

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.

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S. M. Nagiyev, E. I. Jafarov, M. Y. Efendiyev. 2006-12-05. A relativistic model of the $N$-dimensional singular oscillator. https://doi.org/10.1088/1751-8113/40/2/008

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