On a dynamical symmetry group of the relativistic linear singular oscillator
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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.
7 pages, EPL style LaTeX file, accepted for publication in Europhysics Letters
7 pages, EPL style LaTeX file, accepted for publication in Europhysics Letters