The Woods-Saxon Potential in the Dirac Equation
| dc.creator | Kennedy, P. | |
| dc.date | 2001-07-20 | |
| dc.date.accessioned | 2026-07-07T10:53:37Z | |
| dc.date.available | 2026-07-07T10:53:37Z | |
| dc.description | The two-component approach to the one-dimensional Dirac equation is applied to the Woods-Saxon potential. The scattering and bound state solutions are derived and the conditions for a transmission resonance (when the transmission coefficient is unity) and supercriticality (when the particle bound state is at E=-m) are then derived. The square potential limit is discussed. The recent result that a finite-range symmetric potential barrier will have a transmission resonance of zero-momentum when the corresponding well supports a half-bound state at E=-m is demonstrated. | |
| dc.description | 8 pages, 4 figures. Submitted to JPhysA | |
| dc.identifier | https://arxiv.org/abs/hep-th/0107170 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0107170 | |
| dc.identifier | J.Phys.A35:689-698,2002 | |
| dc.identifier | doi:10.1088/0305-4470/35/3/314 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/185545 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Woods-Saxon Potential in the Dirac Equation | |
| dc.type | text |