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Variations on the adiabatic invariance: the Lorentz pendulum

dc.contributor.authorSánchez Soto, Luis Lorenzo
dc.contributor.authorZoido Chamorro, Jesús Manuel
dc.date.accessioned2023-06-20T00:36:24Z
dc.date.available2023-06-20T00:36:24Z
dc.date.issued2012-12-20
dc.descriptionPublished Online: December 2012 Accepted: October 2012 This paper is dedicated to the memory of coauthor Jesús Zoido, who unexpectedly passed away during the preparation of the final version.
dc.description.abstractWe analyze a very simple variant of the Lorentz pendulum, in which the length is varied exponentially, instead of uniformly, as it is assumed in the standard case. We establish quantitative criteria for the condition of adiabatic changes in both pendula and put in evidence their substantially different physical behavior with regard to adiabatic invariance.
dc.description.departmentSección Deptal. de Óptica (Óptica)
dc.description.facultyFac. de Óptica y Optometría
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)
dc.description.sponsorshipUniversidad Complutense de Madrid/BSCH
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/46314
dc.identifier.doi10.1119/1.4763746
dc.identifier.issn0002-9505
dc.identifier.officialurlhttps://doi.org/10.1119/1.4763746
dc.identifier.relatedurlhttp://aapt.scitation.org/doi/10.1119/1.4763746
dc.identifier.urihttps://hdl.handle.net/20.500.14352/42791
dc.issue.number1
dc.journal.titleAmerican Journal of Physics
dc.language.isoeng
dc.page.final62
dc.page.initial57
dc.publisherAmerican Association of Physics Teachers
dc.relation.projectIDFIS2008-04356
dc.relation.projectIDFIS2011-26786
dc.relation.projectIDGR-920992
dc.rights.accessRightsopen access
dc.subject.cdu530.1
dc.subject.cdu530.145
dc.subject.cdu535
dc.subject.keywordLorentz group
dc.subject.keywordExact solutions
dc.subject.keywordLagrangian mechanics
dc.subject.keywordEquations of motion
dc.subject.keywordGeometric phases
dc.subject.ucmFísica matemática
dc.subject.ucmÓptica física, óptica cuántica
dc.subject.unesco2209.19 Óptica física
dc.titleVariations on the adiabatic invariance: the Lorentz pendulum
dc.typejournal article
dc.volume.number81
dspace.entity.typePublication
relation.isAuthorOfPublication88b797ff-cbd7-4498-a9c7-4e39f4fa4776
relation.isAuthorOfPublicationac2a156e-8430-4642-b011-fa98c045fb34
relation.isAuthorOfPublication.latestForDiscovery88b797ff-cbd7-4498-a9c7-4e39f4fa4776

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