| Issue |
Europhys. Lett.
Volume 76, Number 2, October 2006
|
|
|---|---|---|
| Page(s) | 175 - 181 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2006-10259-5 | |
| Published online | 15 September 2006 | |
On a dynamical symmetry group of the relativistic linear singular oscillator
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
Corresponding author: azhep@physics.ab.az
Received:
23
February
2006
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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