| Issue |
Europhys. Lett.
Volume 51, Number 5, September I 2000
|
|
|---|---|---|
| Page(s) | 479 - 484 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2000-00362-7 | |
| Published online | 01 September 2002 | |
Algebraic treatment of the confluent Natanzon potentials
1
Département de Physique, Faculté des Sciences,
Université Badji Mokhtar Annaba, Algérie
2
Département de Physique, Faculté des Sciences,
Université Mentouri Route d'Ain El Bey,
Constantine, Algérie
Received:
23
May
2000
Accepted:
11
July
2000
Using the so(2,1) Lie algebra and the Baker, Campbell and Hausdorff formulas, the Green's function for the class of the confluent Natanzon potentials is constructed straightforwardly. The bound-state energy spectrum is then determined. Eventually, the three-dimensional harmonic potential, the three-dimensional Coulomb potential and the Morse potential may all be considered as particular cases.
PACS: 03.65.-w – Quantum mechanics / 03.65.Fd – Algebraic methods / 02.20.-a – Group theory
© EDP Sciences, 2000
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