Geometry of Lax pairs: Particle motion and Killing-Yano tensors.

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorCariglia, Marco-
Autor(es): dc.creatorFrolov, Valeri P.-
Autor(es): dc.creatorKrtous, Pavel-
Autor(es): dc.creatorKubiznak, David-
Data de aceite: dc.date.accessioned2019-11-06T13:32:16Z-
Data de disponibilização: dc.date.available2019-11-06T13:32:16Z-
Data de envio: dc.date.issued2015-03-13-
Data de envio: dc.date.issued2015-03-13-
Data de envio: dc.date.issued2013-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/handle/123456789/4634-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/557524-
Descrição: dc.descriptionA geometric formulation of the Lax pair equation on a curved manifold is studied using the phase-space formalism. The corresponding (covariantly conserved) Lax tensor is defined and the method of generation of constants of motion from it is discussed. It is shown that when the Hamilton equations of motion are used, the conservation of the Lax tensor translates directly to the well-known Lax pair equation, with one matrix identified with components of the Lax tensor and the other matrix constructed from the (metric) connection. A generalization to Clifford objects is also discussed. Nontrivial examples of Lax tensors for geodesic and charged particle motion are found in spacetimes admitting a hidden symmetry of Killing-Yano tensors.-
Idioma: dc.languageen-
Direitos: dc.rightsPermite o arquivamento da versão PDF do editor em repositórios institucionais. Fonte: Sherpa/Romeo <http://www.sherpa.ac.uk/romeo/search.php?issn=0556-2821>. Acesso em: 09 fev. 2015.-
Título: dc.titleGeometry of Lax pairs: Particle motion and Killing-Yano tensors.-
Aparece nas coleções:Repositório Institucional - UFOP

Não existem arquivos associados a este item.