Canonical Transformations in Quantum Mechanics
| dc.creator | Anderson, Arlen | |
| dc.date | 1992-05-22 | |
| dc.date | 1992-05-25 | |
| dc.date.accessioned | 2026-07-07T09:00:58Z | |
| dc.date.available | 2026-07-07T09:00:58Z | |
| dc.description | Three elementary canonical transformations are shown both to have quantum implementations as finite transformations and to generate, classically and infinitesimally, the full canonical algebra. A general canonical transformation can, in principle, be realized quantum mechanically as a product of these transformations. It is found that the intertwining of two super-Hamiltonians is equivalent to there being a canonical transformation between them. A consequence is that the procedure for solving a differential equation can be viewed as a sequence of elementary canonical transformations trivializing the super-Hamiltonian associated to the equation. It is proposed that the quantum integrability of a system is equivalent to the existence of such a sequence. | |
| dc.description | 27 pages, McGill 92-29 (revised version--several typos fixed in examples) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9205080 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9205080 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148173 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Canonical Transformations in Quantum Mechanics | |
| dc.type | text |