arXiv subjects

R. M. Imanov

Publications and source records attributed to R. M. Imanov.

2 recordsLinked to original sources

arXiv2006

On a dynamical symmetry group of the relativistic linear singular oscillator

An exact approach for the factorization of the relativistic linear singular oscillator is proposed. This model is expressed by the finite-difference Schrödinger-like equation. We have found finite-difference raising and lowering operators, which are with the Hamiltonian operator form the close Lie algebra of the $SU(1, 1)$ group.

math-ph↗

arXiv2004

A relativistic model of the isotropic three-dimensional singular oscillator

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.

math-ph↗