Two helpful developments towards better understanding adiabatic invariance in classical mechanics

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dc.creatorJosé Rachid Mohallem
dc.date.accessioned2021-07-26T19:48:43Z
dc.date.accessioned2025-09-09T01:15:45Z
dc.date.available2021-07-26T19:48:43Z
dc.date.issued2019
dc.description.sponsorshipCNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
dc.format.mimetypepdf
dc.identifier.doihttp://dx.doi.org/10.1590/1806-9126-RBEF-2018-0214
dc.identifier.issn1806-9126
dc.identifier.urihttps://hdl.handle.net/1843/36978
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofRevista brasileira de ensino de física
dc.rightsAcesso Aberto
dc.subjectMecânica clássica
dc.subjectEnergia
dc.subject.otherAdiabatic invariance
dc.subject.otherClassical mechanics
dc.subject.otherGraduate teaching
dc.titleTwo helpful developments towards better understanding adiabatic invariance in classical mechanics
dc.typeArtigo de periódico
local.citation.epagee20180214-4
local.citation.issue2
local.citation.spagee20180214
local.citation.volume41
local.description.resumoThe topic of difficult understanding of adiabatic invariance in classical mechanics is dealt with in a more understandable way. Using the one-dimensional harmonic oscillator as an example, the goals of this paper are twofold. First, given a first-order parameter variation, the second-order magnitude of the correction to the adiabatic invariant is established in simple terms. Second, the identification of the action variable with the invariant quantity for slow variations of different parameters of the Hamiltonian is confirmed, by invoking the correct equation of motion in the derivation.
local.identifier.orcidhttps://orcid.org/0000-0002-4776-4417
local.publisher.countryBrasil
local.publisher.departmentICX - DEPARTAMENTO DE FÍSICA
local.publisher.initialsUFMG
local.url.externahttps://www.scielo.br/j/rbef/a/3nsD9gRzC6zWpJRPMKqrMby/?format=pdf&lang=en

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