Published September 1, 1988 | Version v1
Journal article

Quantal localization and the uncertainty principle

  • 1. Mathematics Faculty, Open University, Milton Keynes, MK7 6AA, England

Description

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

Additional details

Publishing Information

Journal Title
Phys. Rev., A
Journal Volume
38
Journal Issue
5
Series
Phys. Rev., A.
Journal Page Range
2660-2663
ISSN
0556-2791
CODEN
PLRAA