Phase space structure of the hydrogen atom in a circularly polarized microwave field |
| |
Authors: | Esther Barrabé s,Mercè Ollé Florentino Borondo,David FarrellyJosep M. Mondelo |
| |
Affiliation: | a Dept. Informàtica i Matemàtica Aplicada, Universitat de Girona, 17071 Girona, Spainb Dept. de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Barcelona, Spainc Departamento de Química, and Instituto Mixto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spaind Department of Chemistry and Biochemistry, Utah State University, Logan, UT 84322-0300, United Statese IEEC & Dept. Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain |
| |
Abstract: | We consider the problem of the hydrogen atom interacting with a circularly polarized microwave field, modeled as a perturbed Kepler problem. A remarkable feature of this system is that the electron can follow what we term erratic orbits before ionizing. In an erratic orbit the electron makes multiple large distance excursions from the nucleus with each excursion being followed by a close approach to the nucleus, where the interaction is large. Here we are interested in the mechanisms that explain this observation. We find that the manifolds associated with certain hyperbolic periodic orbits may play an important role, despite the fact that, in some respects, the dynamics is almost Keplerian. A study of some relevant invariant objects is carried out for different system parameters. The consequences of our findings for ionization of an electron by the external field are also discussed. |
| |
Keywords: | Hamiltonian dynamical systems Perturbed problem Periodic orbits Chaotic regions Ionization |
本文献已被 ScienceDirect 等数据库收录! |
|