Analytical Treatment of Stabilization

Abstract

We present a summarizing account of a series of investigations whose central topic is to address the question whether atomic stabilization exists in an analytical way. We provide new aspects on several issues of the matter in the theoretical context when the dynamics is described by the Stark Hamiltonian. The main outcome of these studies is that the governing parameters for this phenomenon are the total classical momentum transfer and the total classical displacement. Whenever these two quantities vanish, asymptotically weak stabilization does exist. For all other situations we did not find any evidence for stabilization. We found no evidence that strong stabilization might occur. Our results agree qualitatively with the existing experimental findings.

12 pages Latex

References in corpus (1)

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

Cited by in corpus (5)

• A spin chain model with non-Hermitian interaction: The Ising quantum spin chain in an imaginary field
• Time-dependent Darboux (supersymmetric) transformations for non-Hermitian quantum systems
• Time-independent approximations for time-dependent optical potentials
• Ionization of a Model Atom by Perturbations of the Potential
• Existence criteria for stabilization from the scaling behaviour of ionization probabilities