Solution of the relativistic Dirac-Hulthen problem
| dc.creator | Alhaidari, A. D. | |
| dc.date | 2004-05-03 | |
| dc.date.accessioned | 2026-07-07T10:49:54Z | |
| dc.date.available | 2026-07-07T10:49:54Z | |
| dc.description | The one-particle three-dimensional Dirac equation with spherical symmetry is solved for the Hulthen potential. The s-wave relativistic energy spectrum and two-component spinor wavefunctions are obtained analytically. Conforming to the standard feature of the relativistic problem, the solution space splits into two distinct subspaces depending on the sign of a fundamental parameter in the problem. Unique and interesting properties of the energy spectrum are pointed out and illustrated graphically for several values of the physical parameters. The square integrable two-component wavefunctions are written in terms of the Jacobi polynomials. The nonrelativistic limit reproduces the well-known nonrelativistic energy spectrum and results in Schrodinger equation with a "generalized" three-parameter Hulthen potential, which is the sum of the original Hulthen potential and its square. | |
| dc.description | 13 pages, 3 color figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0405022 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0405022 | |
| dc.identifier | J.Phys.A37:5805-5813,2004; J.Phys.A37:5805-5814,2004 | |
| dc.identifier | doi:10.1088/0305-4470/37/22/007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184378 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Solution of the relativistic Dirac-Hulthen problem | |
| dc.type | text |