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dc.creatorBorondo, F-
dc.creatorLuque, A-
dc.creatorVillanueva, J-
dc.creatorWisniacki, Diego Ariel-
dc.date2018-10-03T18:28:51Z-
dc.date2018-10-03T18:28:51Z-
dc.date2009-01-
dc.date2018-10-03T17:29:53Z-
dc.date.accessioned2019-04-29T15:52:15Z-
dc.date.available2019-04-29T15:52:15Z-
dc.date.issued2009-01-
dc.identifierBorondo, F; Luque, A; Villanueva, J; Wisniacki, Diego Ariel; A dynamical systems approach to Bohmian trajectories in a 2D harmonic oscillator; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 42; 49; 1-2009; 495103-495103-
dc.identifier1751-8113-
dc.identifierhttp://hdl.handle.net/11336/61555-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/304209-
dc.descriptionVortices are known to play a key role in the dynamics of the quantum trajectories defined within the framework of the de Broglie–Bohm formalism of quantum mechanics. It has been rigourously proved that the motion of a vortex in the associated velocity field can induce chaos in these trajectories, and numerical studies have explored the rich variety of behaviors that due to their influence can be observed. In this paper, we go one step further and show how the theory of dynamical systems can be used to construct a general and systematic classification of such dynamical behaviors. This should contribute to establish some firm grounds on which the studies on the intrinsic stochasticity of Bohm´s quantum trajectories can be based. An application to the two-dimensional isotropic harmonic oscillator is presented as an illustration.-
dc.descriptionFil: Borondo, F. Universidad Autónoma de Madrid; España-
dc.descriptionFil: Luque, A. Universidad Politécnica de Catalunya; España-
dc.descriptionFil: Villanueva, J. Universidad Politécnica de Catalunya; España-
dc.descriptionFil: Wisniacki, Diego Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherIOP Publishing-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/1751-8113/42/49/495103-
dc.rightsinfo:eu-repo/semantics/restrictedAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subjectBOHMIAN MECHANICS-
dc.subjectCHAOS-
dc.subjectAstronomía-
dc.subjectCiencias Físicas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleA dynamical systems approach to Bohmian trajectories in a 2D harmonic oscillator-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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