Klein-Gordon and square-root operator equations for two-spinors and scalars: perturbation calculations for hydrogen-like systems
| dc.creator | Gleim, Tobias | |
| dc.date | 2006-02-03 | |
| dc.date.accessioned | 2026-07-07T07:04:15Z | |
| dc.date.available | 2026-07-07T07:04:15Z | |
| dc.description | There exists a Klein-Gordon-like equation for a spin-1/2 particle in an electromagnetic field with 2-spinors as wave functions that is a direct consequence of the corresponding Dirac equation. Thus, it reproduces the same binding energies for an electron in a hydrogen atom as the Dirac equation. There is also a square-root equation for 2-spinors which can give the same binding energies up to the forth order of the fine structure constant, inclusively, what will be shown by means of a comparison of the non-relativistic limit plus a first relativistic correction of both equations for 2-spinors within the framework of a perturbation analysis. A parallel will also be drawn to the spin-0 case. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0602047 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0602047 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109290 | |
| dc.subject | Quantum Physics | |
| dc.title | Klein-Gordon and square-root operator equations for two-spinors and scalars: perturbation calculations for hydrogen-like systems | |
| dc.type | text |