On a dynamical symmetry group of the relativistic linear singular oscillatorS. M. Nagiyev1, E. I. Jafarov1 and R. M. Imanov2
1 Institute of Physics, Azerbaijan National Academy of Sciences Javid ave. 33, AZ1143, Baku, Azerbaijan
2 Physics Department, Ganja State University - A. Camil str. 1 AZ2700, Ganja, Azerbaijan
received 23 February 2006; accepted in final form 25 August 2006
published online 15 September 2006
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 group.
03.65.Fd - Algebraic methods.
03.65.Pm - Relativistic wave equations.
02.20.Sv - Lie algebras of Lie groups.
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