Quantal localization and the uncertainty principle
- 1 September 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 38 (5), 2660-2663
- https://doi.org/10.1103/physreva.38.2660
Abstract
We give a dynamical explanation for the localization of the wave function for the one-dimensional hydrogen atom, with the Coulomb singularity, in a high-frequency electric field, which leads to a necessary condition for classical dynamics to be valid. Numerical tests confirm the accuracy of the condition. Our analysis is relevant to the comparison between the classical and quantal dynamics of the kicked rotor and standard map.Keywords
This publication has 20 references indexed in Scilit:
- Microwave ionization of highly excited hydrogen atomsThe European Physical Journal D, 1987
- Ionisation of excited one-dimensional hydrogen atoms by low-frequency fieldsJournal of Physics B: Atomic and Molecular Physics, 1987
- Ionisation of a one-dimensional hydrogen atom by a resonant electric fieldJournal of Physics B: Atomic and Molecular Physics, 1986
- New Photoelectric Ionization Peak in the Hydrogen AtomPhysical Review Letters, 1986
- Dynamical Stability of Quantum "Chaotic" Motion in a Hydrogen AtomPhysical Review Letters, 1986
- Microwave Ionization of Hydrogen Atoms: Experiment versus Classical DynamicsPhysical Review Letters, 1985
- Microwave multiphoton n-decreasing transitions in electrically polarised, highly excited hydrogen atomsJournal of Physics B: Atomic and Molecular Physics, 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
- Microwave Ionization and Excitation of Rydberg AtomsPhysical Review Letters, 1978