Mini-Review: Hydrogen Atoms in a High-Frequency Laser Field

Oks Oks

doi:10.3390/atoms7030083

Abstract

Because of the continuing advances in developing lasers in the far-ultraviolet and x-ray ranges, studies of the behavior of atoms under a high-frequency laser field are of theoretical and practical interest. In the present paper, we review various analytical results obtained by the method of separating rapid and slow subsystems for various polarizations of the laser field. Specifically, we review the corresponding analytical results both in terms of the quantum description of the phenomena involved and in terms of the classical description of the phenomena involved. We point out that, for the classical description of hydrogen atoms in a high-frequency laser field, there are interesting celestial analogies. We discuss hidden symmetries of these physical systems, the advantages of this analytical method, and the connection between these results and the transition to chaos.

Highlights

Because of the continuing advances in developing lasers in the far-ultraviolet and x-ray ranges, studies of the behavior of atoms under a high-frequency laser field are of theoretical and practical interest
In the present paper we review various analytical results obtained by the method of separating rapid and slow subsystems
In Conclusions, we discuss the advantages of applying the method of separating rapid and slow subsystems to the physical systems under consideration

Summary

Introduction

Because of the continuing advances in developing lasers in the far-ultraviolet and x-ray ranges, studies of the behavior of atoms under a high-frequency laser field are of theoretical and practical interest. The “high-frequency” means that the laser frequency ω is much greater than any of the atomic transition frequencies ωn’n :. In the present paper we review various analytical results obtained by the method of separating rapid and slow subsystems. In Conclusions, we discuss the advantages of applying the method of separating rapid and slow subsystems to the physical systems under consideration.

Quantum Hydrogen Atoms in a High-Frequency Laser Field

Discussion and Conclusions