Existence criteria for stabilization from the scaling behaviour of ionization probabilities

Details Existence criteria for stabilization from the scaling behaviour of ionization probabilities Existence criteria for stabilization from the scaling behaviour of ionization probabilities

1999-11-19

arxiv.org/abs/physics/9911046v1

Jour. of Physics B33 2000 1675

Physics

Atomic Physics

12 pages of Latex, one figure

Scientific paper

10.1088/0953-4075/33/8/316

We provide a systematic derivation of the scaling behaviour of various quantities and establish in particular the scale invariance of the ionization probability. We discuss the gauge invariance of the scaling properties and the manner in which they can be exploited as consistency check in explicit analytical expressions, in perturbation theory, in the Kramers-Henneberger and Floquet approximation, in upper and lower bound estimates and fully numerical solutions of the time dependent Schroedinger equation. The scaling invariance leads to a differential equation which has to be satisfied by the ionization probability and which yields an alternative criterium for the existence of atomic bound state stabilization.

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