Instability of pre-existing resonances in the DC Stark effect vs. stability in the AC Stark effect

摘要

For atoms described by a 1-dimensional Friedrichs model we present thefollowing result: pre-existing resonances, when subjected to a small constantelectric field (DC Stark effect), are unstable in the weak field limit. Incontrast, pre-existing resonances under the influence of a small time-periodicelectric field (AC Stark effect) are stable in this limit. This article is areview of our results in "Instability of pre-existing resonances under a smallconstant electric field", arXiv:1310.4745.