Transitions induced by separatrix crossing
- 1 April 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 45 (7) , 4960-4968
- https://doi.org/10.1103/physreva.45.4960
Abstract
We discuss the role of separatrix crossing in a classical Hamiltonian system for a description of transitions in the corresponding quantum system. We develop a simple picture of resonant trapping of classical states and its semiclassical analog. Its relevance is illustrated by numerical analysis and by pointing out its verification in microwave excitation of highly excited hydrogen.Keywords
This publication has 15 references indexed in Scilit:
- Selective excitation of the HF molecule: Continuum and pulse-shape effectsPhysical Review A, 1992
- A semiclassical theory of quasienergies and Floquet wave functionsAnnals of Physics, 1991
- Selective excitation of molecular vibrations by interference of Floquet statesJournal of Physics B: Atomic, Molecular and Optical Physics, 1991
- Mechanism of state-selective vibrational excitation by an infrared picosecond laser pulse studied by two techniques: fast Fourier transform propagation of a molecular wave packet and analysis of the corresponding vibrational transitionsThe Journal of Physical Chemistry, 1990
- Adiabatic-invariant change due to separatrix crossingPhysical Review A, 1986
- Change of the Adiabatic Invariant due to Separatrix CrossingPhysical Review Letters, 1986
- Regular and Stochastic MotionPublished by Springer Nature ,1983
- Mathematical Methods of Classical MechanicsPublished by Springer Nature ,1978
- Corrected bohr-sommerfeld quantum conditions for nonseparable systemsAnnals of Physics, 1958
- Remarques sur la mécanique ondulatoireJournal de Physique et le Radium, 1926