Ionization Probabilities through ultra-intense Fields in the extreme Limit

Abstract

We continue our investigation concerning the question of whether atomic bound states begin to stabilize in the ultra-intense field limit. The pulses considered are essentially arbitrary, but we distinguish between three situations. First the total classical momentum transfer is non-vanishing, second not both the total classical momentum transfer and the total classical displacement are vanishing together with the requirement that the potential has a finite number of bound states and third both the total classical momentum transfer and the total classical displacement are vanishing. For the first two cases we rigorously prove, that the ionization probability tends to one when the amplitude of the pulse tends to infinity and the pulse shape remains fixed. In the third case the limit is strictly smaller than one. This case is also related to the high frequency limit considered by Gavrila et al.

16 pages LateX, 2 figures

References in corpus (1)

• On the absence of bound-state stabilization through short ultra-intense fields

Cited by in corpus (6)

• Adiabatic stabilization of a circular state: theory compared to experiment
• Decay versus survival of a localized state subjected to harmonic forcing: exact results
• On the Influence of Pulse Shapes on Ionization Probability
• Existence criteria for stabilization from the scaling behaviour of ionization probabilities
• On the Atomic Photoeffect in Non-relativistic QED
• Ionization of Atoms by Intense Laser Pulses