On a dynamical symmetry group of the relativistic linear singular oscillator
S. M. Nagiyev, E. I. Jafarov, R. M. Imanov
Abstract
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.
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