The Stationary Maxwell-Dirac Equations
| dc.creator | Radford, Chris | |
| dc.date | 2001-12-18 | |
| dc.date | 2002-03-14 | |
| dc.date.accessioned | 2026-07-07T04:28:50Z | |
| dc.date.available | 2026-07-07T04:28:50Z | |
| dc.description | The Maxwell-Dirac equations are the equations for electronic matter, the "classical" theory underlying QED. In this article we examine the stationary Maxwell-Dirac equations under weak regularity and decay assumptions. We prove that: There are no embedded eigenvalues in the essential spectrum, $-m\leq E\leq m$. If $|E|< m$ then the Dirac field components (and their derivatives) decay exponentially at spatial infinity. If $E|=m$ then the system is "asymptotically" static and decays exponentially if the total charge is non-zero. | |
| dc.description | 19 pages LaTex (amsart) Typos corrected, theorem 3 proof improved. No change to results | |
| dc.identifier | https://arxiv.org/abs/math-ph/0112037 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0112037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56940 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35Q40 (Primary), 00A79 (Secondary) | |
| dc.title | The Stationary Maxwell-Dirac Equations | |
| dc.type | text |