A Relativistic Quaternionic Wave Equation
| dc.creator | Schwartz, Charles | |
| dc.date | 2006-07-18 | |
| dc.date | 2006-09-21 | |
| dc.date.accessioned | 2026-07-07T11:06:52Z | |
| dc.date.available | 2026-07-07T11:06:52Z | |
| dc.description | We study a one-component quaternionic wave equation which is relativistically covariant. Bi-linear forms include a conserved 4-current and an antisymmetric second rank tensor. Waves propagate within the light-cone and there is a conserved quantity which looks like helicity. The principle of superposition is retained in a slightly altered manner. External potentials can be introduced in a way that allows for gauge invariance. There are some results for scattering theory and for two-particle wavefunctions as well as the beginnings of second quantization. However, we are unable to find a suitable Lagrangian or an energy-momentum tensor. | |
| dc.description | 19 pages; minor corrections in Section 11 and Appendix A | |
| dc.identifier | https://arxiv.org/abs/hep-th/0607121 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0607121 | |
| dc.identifier | J.Math.Phys.47:122301,2006 | |
| dc.identifier | doi:10.1063/1.2397555 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/189664 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A Relativistic Quaternionic Wave Equation | |
| dc.type | text |