An analytic study of the ionization from an ultrathin quantum well in a weak electrostatic field
| dc.creator | Kim, Ilki | |
| dc.date | 2007-06-12 | |
| dc.date.accessioned | 2026-07-07T08:05:14Z | |
| dc.date.available | 2026-07-07T08:05:14Z | |
| dc.description | We consider the time evolution of a particle bound by an attractive one-dimensional delta-function potential (at x = 0) when a uniform electrostatic field (F) is applied. We explore explicit expressions for the time-dependent wavefunction ψ_F(x,t) and the ionization probability {\mathcal{P}}(t), respectively, in the weak-field limit. In doing so, ψ_F(0,t) is a key element to their evaluation. We obtain a closed expression for ψ_F(0,t) which is an excellent approximation of the exact result being a numerical solution of the Lippmann-Schwinger integral equation. The resulting probability density |ψ_F(0,t)|^2, as a simple alternative to {\mathcal{P}}(t), is also in good agreement to its counterpart from the exact one. In doing this, we also find a new and useful integral identity of the Airy function. | |
| dc.description | 3 figures | |
| dc.identifier | https://arxiv.org/abs/0706.1630 | |
| dc.identifier | http://arxiv.org/abs/0706.1630 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130215 | |
| dc.subject | Quantum Physics | |
| dc.title | An analytic study of the ionization from an ultrathin quantum well in a weak electrostatic field | |
| dc.type | text |