Exact Results for the Ionization of a Model Quantum System
| dc.creator | Costin, O. | |
| dc.creator | Rokhlenko, A. | |
| dc.creator | Lebowitz, J. | |
| dc.date | 2006-08-16 | |
| dc.date.accessioned | 2026-07-07T07:20:38Z | |
| dc.date.available | 2026-07-07T07:20:38Z | |
| dc.description | We prove that a model atom having one bound state will be fully ionized by a time periodic potential of arbitrary strength r and frequency omega. Starting with the system in the bound state, the survival probability is for small r given by exp(-Gamma t) for times of order GAMMA^(-1)~r^(-2n) where n is the minimum number of 'photons' required for ionization (with large modifications at resonances). For late times the decay is as t^(-3) with the power law modulated by oscillations. As r increases, the time over which there is exponential decay becomes shorter and the power law behaviour starts earlier. Results are for a parametrically excited one-dimensional system with zero-range potential but comparison with analyticalworks and with experiments indicates that many features are general. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0608039 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0608039 | |
| dc.identifier | J. Phys. A: Math. Gen. 33 pp. 1--9 (2000) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115016 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81Q05 | |
| dc.title | Exact Results for the Ionization of a Model Quantum System | |
| dc.type | text |