Europhys. Lett.
Volume 76, Number 2, October 2006
Page(s) 175 - 181
Section General
Published online 15 September 2006
Europhys. Lett., 76 (2), pp. 175-181 (2006)
DOI: 10.1209/epl/i2006-10259-5

On a dynamical symmetry group of the relativistic linear singular oscillator

S. 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 $SU\left( 1,
1 \right)$ group.

03.65.Fd - Algebraic methods.
03.65.Pm - Relativistic wave equations.
02.20.Sv - Lie algebras of Lie groups.

© EDP Sciences 2006