On a dynamical symmetry group of the relativistic linear singular oscillator
Mathematical Physics
2007-05-23 v2 math.MP
Abstract
An exact approach for the factorization of the relativistic linear singular oscillator is proposed. This model is expressed by the finite-difference Schr\"odinger-like equation. We have found finite-difference raising and lowering operators, which are with the Hamiltonian operator form the close Lie algebra of the group.
Keywords
Cite
@article{arxiv.math-ph/0608057,
title = {On a dynamical symmetry group of the relativistic linear singular oscillator},
author = {S. M. Nagiyev and E. I. Jafarov and R. M. Imanov},
journal= {arXiv preprint arXiv:math-ph/0608057},
year = {2007}
}
Comments
7 pages, EPL style LaTeX file, accepted for publication in Europhysics Letters