The Time Inversion for Modified Oscillators
| dc.creator | Cordero-Soto, Ricardo | |
| dc.creator | Suslov, Sergei K. | |
| dc.date | 2008-08-22 | |
| dc.date | 2009-03-08 | |
| dc.date.accessioned | 2026-07-07T12:49:31Z | |
| dc.date.available | 2026-07-07T12:49:31Z | |
| dc.description | We discuss a new completely integrable case of the time-dependent Schroedinger equation in $R^n$ with variable coefficients for a modified oscillator, which is dual with respect to the time inversion to a model of the quantum oscillator recently considered by Meiler, Cordero-Soto, and Suslov. A second pair of dual Hamiltonians is also found in the momentum representation. Our examples show that in mathematical physics and quantum mechanics a change in the direction of time may require a total change of the system dynamics in order to return the system back to its original quantum state. Particular solutions of the corresponding Schroedinger equations are also obtained. A Hamiltonian structure of the classical integrable problem and its quantization are also discussed. | |
| dc.description | 33 pages, four figures, and two tables | |
| dc.identifier | https://arxiv.org/abs/0808.3149 | |
| dc.identifier | http://arxiv.org/abs/0808.3149 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222431 | |
| dc.subject | Mathematical Physics | |
| dc.title | The Time Inversion for Modified Oscillators | |
| dc.type | text |