A new way of defining unstable states
| dc.creator | Kim, Sungyun | |
| dc.creator | Ordonez, Gonzalo | |
| dc.date | 2003-11-10 | |
| dc.date | 2005-07-05 | |
| dc.date.accessioned | 2026-07-07T05:50:27Z | |
| dc.date.available | 2026-07-07T05:50:27Z | |
| dc.description | We define a new unstable state in the Friedrichs model of a two-level atom. This unstable state is a complex eigenstate of the time evolution operator $\exp(-iHt)$ with a restricted test function space, which is obtained from causality conditions. The unstable state shows exact exponential decay for $t\ge0$. Its emitted field is confined inside the future light-cone. In this way the long-standing problem of exponential catastrophe is removed. This is an example of quantum mechanics outside Hilbert space, which consists of generalized eigenstates in a distribution space, and a dual (test function) space. | |
| dc.description | 13 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/physics/0311048 | |
| dc.identifier | http://arxiv.org/abs/physics/0311048 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/85720 | |
| dc.subject | Atomic Physics | |
| dc.title | A new way of defining unstable states | |
| dc.type | text |