The continuous spectrum in the solution of thetime-dependent Schrödinger equation for laser-atominteractions

Abstract

We present results from the application of the state-specificexpansion approach (SSEA) to the ab initio calculationof the ionization probability of the `delta function atom'interacting with a superstrong high-frequency laser pulse(ω = 1 au, Ipeak = 0.1-100 au). These resultspertain to the extensively discussed notion of `stabilization'.A fully converged SSEA calculation does not produce any`stabilization'. However, approximations to it, resulting fromthe incomplete inclusion of the contribution of the continuousspectrum, do.