Separation of Variables and Exactly Soluble Time-Dependent Potentials in Quantum Mechanics
| dc.creator | Efthimiou, Costas John | |
| dc.creator | Spector, Donald | |
| dc.date | 1993-06-13 | |
| dc.date.accessioned | 2026-07-07T04:19:28Z | |
| dc.date.available | 2026-07-07T04:19:28Z | |
| dc.description | We use separation of variables as a tool to identify and to analyze exactly soluble time-dependent quantum mechanical potentials. By considering the most general possible time-dependent re-definition of the spatial coordinate, as well as general transformations on the wavefunctions, we show that separation of variables applies and exact solubility occurs only in a very restricted class of time-dependent models. We consider the formal structure underlying our findings, and the relationship between our results and other work on time-dependent potentials. As an application of our methods, we apply our results to the calculations of propagators. | |
| dc.description | REVTEX, 30 pages, CLNS-93/1188, HWS-9313 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9306060 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9306060 | |
| dc.identifier | Phys.Rev. A48 (1993) 2301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53565 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Separation of Variables and Exactly Soluble Time-Dependent Potentials in Quantum Mechanics | |
| dc.type | text |