Estimativas de magnitudes da dinâmica quântica envolvendo dimensões de Hausdorff e de empacotamento

dc.contributorOliveira, César Rogério de
dc.contributorhttp://genos.cnpq.br:12010/dwlattes/owa/prc_imp_cv_int?f_cod=K4780700D3
dc.contributorhttp://lattes.cnpq.br/5215387956833551
dc.creatorBarra Olivares, Erick Andrés de La
dc.date.accessioned2014-10-16
dc.date.accessioned2016-06-02T20:28:30Z
dc.date.available2014-10-16
dc.date.available2016-06-02T20:28:30Z
dc.date.created2014-10-16
dc.date.created2016-06-02T20:28:30Z
dc.date.issued2014-03-21
dc.identifierOLIVARES, Erick Andrés de La Barra. Estimativas de magnitudes da dinâmica quântica envolvendo dimensões de Hausdorff e de empacotamento. 2014. 57 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de São Carlos, São Carlos, 2014.
dc.identifierhttps://repositorio.ufscar.br/handle/ufscar/5909
dc.description.abstractIn this work we approach the nonrelativistic quantum mechanics from the point of view of mathematical physics; we present estimates of some dynamical quantities that are used to describe the return probability to the initial state. Such estimates are related to Hausdorff and packing dimensions of the relevant spectral measures. After defining such dimensions we discuss some tools to characterize the quantum dynamics of a particle in one dimension. Then we summarize some standard facts from the literature and the quantities we are interested in. Finally, as an application, estimates of some dynamical quantities based on concepts from statistical mechanics are presented.
dc.publisherUniversidade Federal de São Carlos
dc.publisherBR
dc.publisherUFSCar
dc.publisherPrograma de Pós-Graduação em Matemática - PPGM
dc.rightsAcesso Aberto
dc.subjectFísica matemática
dc.subjectEspectro fractal
dc.subjectDimensão de empacotamento
dc.subjectDinâmica quântica
dc.titleEstimativas de magnitudes da dinâmica quântica envolvendo dimensões de Hausdorff e de empacotamento
dc.typeTesis


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