Relation between quantum and classical thresholds for multiphoton ionization of excited atoms
- 1 June 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 37 (12) , 4702-4706
- https://doi.org/10.1103/physreva.37.4702
Abstract
The ionization of hydrogen can be treated by classical theory when the initial quantum number is large and the photon energy is small. Classically, the electron motion is stochastic for high intensities and the resulting diffusion can lead to ionization. However, Casati et al. [Phys. Rev. Lett. 57, 823 (1986)] have found that the ionization threshold is often higher than the threshold for classical stochasticity. We present here a heuristic explanation: classical stochasticity will be suppressed when the phase-space area escaping through classical cantori each period of the electric field is small compared to Planck’s constant. We obtain a scaling law which agrees remarkably well with the numerical results of Casati et al.Keywords
This publication has 20 references indexed in Scilit:
- New Photoelectric Ionization Peak in the Hydrogen AtomPhysical Review Letters, 1986
- Microwave Ionization of Hydrogen Atoms: Experiment versus Classical DynamicsPhysical Review Letters, 1985
- Diffusionlike Aspects of Multiphoton Absorption in Electrically Polarized Highly Excited Hydrogen AtomsPhysical Review Letters, 1985
- Quantum Limitations for Chaotic Excitation of the Hydrogen Atom in a Monochromatic FieldPhysical Review Letters, 1984
- Stochastic ionization of surface-state electrons: Classical theoryPhysical Review A, 1984
- THE CALCULATION OF KAM SURFACES*Annals of the New York Academy of Sciences, 1980
- A method for determining a stochastic transitionJournal of Mathematical Physics, 1979
- A universal instability of many-dimensional oscillator systemsPhysics Reports, 1979
- Ionisation of highly excited atoms by electric fields. III. Microwave ionisation and excitationJournal of Physics B: Atomic and Molecular Physics, 1979
- Multiphoton Ionization of Highly Excited Hydrogen AtomsPhysical Review Letters, 1974