| Issue |
EPL
Volume 95, Number 6, September 2011
|
|
|---|---|---|
| Article Number | 60002 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/95/60002 | |
| Published online | 31 August 2011 | |
su(1, 1) algebraic approach of the Dirac equation with Coulomb-type scalar and vector potentials in D+1 dimensions
1
Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional - Ed. 9, Unidad Profesional Adolfo López Mateos, 07738, México D. F., México
2
Universidad Autónoma de la Ciudad de México, Plantel Cuautepec - Av. La Corona 320, Col. Loma la Palma, Delegación Gustavo A. Madero, 07160, México D. F., México
3
Escuela Superior de Ingeniería Mecánica y Eléctrica, Unidad Culhuacan, Instituto Politécnico Nacional Av. Santa Ana No. 1000, Col. San Francisco Culhuacan, Delegación Coyoacan C.P. 04430, México D. F., México
Received:
20
June
2011
Accepted:
29
July
2011
We study the Dirac equation with Coulomb-type vector and scalar potentials in D+1 dimensions from an su(1, 1) algebraic approach. The generators of this algebra are constructed by using the Schrödinger factorization. The theory of unitary representations for the su(1, 1) Lie algebra allows us to obtain the energy spectrum and the supersymmetric ground state. For the cases where there exists either scalar or vector potential our results are reduced to those obtained by analytical techniques.
PACS: 02.20.Sv – Lie algebras of Lie groups / 03.65.Fd – Algebraic methods / 03.65.Pm – Relativistic wave equations
© EPLA, 2011
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