Existence criteria for stabilization from the scaling behaviour of ionization probabilities

Abstract

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.

12 pages of Latex, one figure

References in corpus (4)

• On the absence of bound-state stabilization through short ultra-intense fields
• Ionization Probabilities through ultra-intense Fields in the extreme Limit
• On the Influence of Pulse Shapes on Ionization Probability
• Analytical Treatment of Stabilization

Cited by in corpus (5)

• Time evolution of non-Hermitian Hamiltonian systems
• Non-Hermitian Hamiltonians with real eigenvalues coupled to electric fields: from the time-independent to the time dependent quantum mechanical formulation
• The quantum brachistochrone problem for non-Hermitian Hamiltonians
• Time-independent approximations for time-dependent optical potentials
• Analytical Treatment of Stabilization