To and fro motion for the hydrogen atom in a circularly polarized microwave field

•Regularization of the equations of motion.•Mechanism that explains to and fro motion.•Computation of families (and bifurcations) of ECO.•Description of the dynamics of the CP problem in a global sense. We study the problem of the hydrogen atom interacting with a circularly polarized microwave field...

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Vydané v:Communications in nonlinear science & numerical simulation Ročník 54; s. 286 - 301
Hlavný autor: Ollé, Mercè
Médium: Journal Article Publikácia
Jazyk:English
Vydavateľské údaje: Amsterdam Elsevier B.V 01.01.2018
Elsevier Science Ltd
Predmet:
70 Mechanics of particles and systems
70F Dynamics of a system of particles, including celestial mechanics
Bifurcations
Classificació AMS
Collision dynamics
Dynamical systems
Ejection
Ejection-collision orbits
Global dynamics
Hydrogen
Invariant manifolds
Ionization
Many-body problem
Matemàtiques i estadística
Nuclei
Orbits
Problema dels cossos múltiples
Regularization
Regularization methods
Trajectories
Àrees temàtiques de la UPC
Ejection-collision orbits
70F07
70F15
Global dynamics
Regularization
Invariant manifolds
ISSN:1007-5704, 1878-7274
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Popis
Shrnutí:•Regularization of the equations of motion.•Mechanism that explains to and fro motion.•Computation of families (and bifurcations) of ECO.•Description of the dynamics of the CP problem in a global sense. We study the problem of the hydrogen atom interacting with a circularly polarized microwave field, and more specifically, we focus on the so called to and fro motion, that is, the erratic trajectories described by the electron making several large distance excursions and close passages to the nucleus. The skeleton of such trajectories is based on the so called ejection-collision orbits (ECO), that is, orbits ejected from the nucleus, describing several far/close passages to the origin and finally colliding with it. The computation and continuation of families of ECO, as well as their bifurcations is analysed, and finally the consequences of such orbits to explain to and from motion as well as ionization of an electron by the external field are also described.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2017.05.026