Separation of topological singularities

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorDuda, Jarek-
Data de aceite: dc.date.accessioned2019-08-21T19:36:04Z-
Data de disponibilização: dc.date.available2019-08-21T19:36:04Z-
Data de envio: dc.date.issued2010-01-05-
Data de envio: dc.date.issued2010-
Data de envio: dc.date.issued2013-04-02-
Data de envio: dc.date.issued2013-04-02-
Data de envio: dc.date.issued2013-04-02-
Fonte completa do material: dc.identifierhttp://objetoseducacionais2.mec.gov.br/handle/mec/23441-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/495267-
Descrição: dc.descriptionWhen considering nearly continuous fields of nonzero vectors in a 2D plane, there are possibly some nontrivial topological situations with enforced discontinuities at some discrete set of points. If we make a loop around one of these so-called critical points, the phase makes some integer number of rotations. Such a number has good conservation properties—the number of rotations while going through some loop is the sum of such numbers for critical points inside it. In complex analysis this is called the argument principle, in differential equations theory this number is called the Conley (or Morse) index, and in physics it is very similar to the so-called spin—while rotating around the spin axis of a particle, the quantum phase rotates s times, where s is the spin. This Demonstration helps you to imagine the behavior of the phase while separating two critical points, as in the case of the spontaneous creation of a particle-antiparticle pair. It uses a very simple complex function, showing only a qualitative picture. To handle spins having a multiplicity of 1/2 as in physics, we have to identify vectors with their opposites—forget about the arrows— by using a field of directions (S(1)/{1,-1})-
Descrição: dc.descriptionEducação Superior::Ciências Exatas e da Terra::Matemática-
Idioma: dc.languageen-
Publicador: dc.publisherWolfram demonstrations project-
Relação: dc.relationSeparationOfTopologicalSingularities.nbp-
Direitos: dc.rightsDemonstration freeware using MathematicaPlayer-
???dc.source???: dc.sourcehttp://demonstrations.wolfram.com/SeparationOfTopologicalSingularities/-
Palavras-chave: dc.subjectEducação Superior::Ciências Exatas e da Terra::Matemática::Topologia das Variedades-
Palavras-chave: dc.subjectTopologia-
Título: dc.titleSeparation of topological singularities-
???dc.description2???: dc.description2Esta demonstraçõ auxilia o usuário na compreensão de uma fase, quando separa dois pontos críticos, como no caso da criação espontânea do par partícula-antipartícula-
???dc.description3???: dc.description3This demonstration needs the "MathematicaPlayer.exe" to run. Find it in http://objetoseducacionais2.mec.gov.br/handle/mec/4737-
Aparece nas coleções:Repositório Institucional - MEC BIOE

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