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dc.contributor.authorBarrabés Vera, Esther
dc.contributor.authorOllé Torner, Mercè
dc.contributor.authorBorondo Rodríguez, Florentino
dc.contributor.authorFarrelly, David
dc.contributor.authorMondelo González, José María
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2012-02-21T11:07:11Z
dc.date.available2012-02-21T11:07:11Z
dc.date.created2012-02
dc.date.issued2012-02
dc.identifier.citationBarrabes, E. [et al.]. Phase space structure of the hydrogen atom in a circularly polarized microwave field. "Physica. D, Nonlinear phenomena", Febrer 2012, vol. 241, núm. 4, p. 333-349.
dc.identifier.issn0167-2789
dc.identifier.urihttp://hdl.handle.net/2117/15271
dc.description.abstractWe 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.
dc.format.extent17 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshHamiltonian systems
dc.subject.lcshIonization
dc.subject.otherHamiltonian dynamical systems
dc.subject.otherPerturbed problem
dc.subject.otherPeriodic orbits
dc.subject.otherChaotic regions
dc.subject.otherIonization
dc.titlePhase space structure of the hydrogen atom in a circularly polarized microwave field
dc.typeArticle
dc.subject.lemacHamilton, Sistemes de
dc.subject.lemacIonització
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.identifier.doi10.1016/j.physd.2011.10.016
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0167278911003071
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac9649519
dc.description.versionPostprint (published version)
local.citation.authorBarrabes, E.; Ollé, M.; Borondo, F.; Farrelly, D.; Mondelo, J. M.
local.citation.publicationNamePhysica. D, Nonlinear phenomena
local.citation.volume241
local.citation.number4
local.citation.startingPage333
local.citation.endingPage349


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