Energy-momentum operators with eigenfunctions localized along a line
| dc.creator | Mosley, Shaun N. | |
| dc.date | 2003-10-26 | |
| dc.date | 2003-11-07 | |
| dc.date.accessioned | 2026-07-07T06:08:10Z | |
| dc.date.available | 2026-07-07T06:08:10Z | |
| dc.description | The momentum operator $ {\bf p} = - i {\bx \nabla} $ has radial component $ {\bf \tilde p} \equiv - i {\bf \hat{r}} ({1 \over r} \partial_r r).$ We show that ${\bf \tilde p} $ is the space part of a 4-vector operator, the zero component of which is a positive operator. Their eigenfunctions are localized along an axis through the origin. The solutions of the evolution equation $ i \partial_t ψ= {\tilde p^0} ψ$ are waves along the propagation axis. Lorentz transformations of these waves yield the aberration and Doppler shift. We briefly consider spin-half and spin-one representations. | |
| dc.description | 10 pages, errors corrected | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0310159 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0310159 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91537 | |
| dc.subject | Quantum Physics | |
| dc.subject | Mathematical Physics | |
| dc.title | Energy-momentum operators with eigenfunctions localized along a line | |
| dc.type | text |