Volume 76, Number 2, October 2006
|Page(s)||175 - 181|
|Published online||15 September 2006|
On a dynamical symmetry group of the relativistic linear singular oscillator
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
Corresponding author: email@example.com
Accepted: 25 August 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.
PACS: 03.65.Fd – Algebraic methods / 03.65.Pm – Relativistic wave equations / 02.20.Sv – Lie algebras of Lie groups
© EDP Sciences, 2006
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