Ionization in a 1-Dimensional Dipole Model
| dc.creator | Costin, O. | |
| dc.creator | Lebowitz, J. L. | |
| dc.creator | Stucchio, C. | |
| dc.date | 2006-09-25 | |
| dc.date | 2007-06-04 | |
| dc.date.accessioned | 2026-07-07T08:05:57Z | |
| dc.date.available | 2026-07-07T08:05:57Z | |
| dc.description | We study the evolution of a one dimensional model atom with $δ$-function binding potential, subjected to a dipole radiation field $E(t) x$ with $E(t)$ a $2π/ω$-periodic real-valued function. Starting with $ψ(x,t=0)$ an initially localized state and $E(t)$ a trigonometric polynomial, complete ionization occurs; the probability of finding the electron in any fixed region goes to zero. For $ψ(x,0)$ compactly supported and general periodic fields, we construct a resonance expansion. Each resonance is given explicitly as a Gamow vector, and is $2π/ω$ periodic in time and behaves like the exponentially growing Green's function near $x=\pm \infty$. The remainder is given by an asymptotic power series in $t^{-1/2}$ with coefficients varying with $x$. | |
| dc.description | Corrected proof, extensive changes. 39 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math-ph/0609069 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0609069 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130441 | |
| dc.subject | Mathematical Physics | |
| dc.title | Ionization in a 1-Dimensional Dipole Model | |
| dc.type | text |