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DC Field | Value | Language |
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dc.contributor.author | Santana, Ademir Eugênio de | - |
dc.contributor.author | Khanna, Faqir C. | - |
dc.contributor.author | Montigny, M. de | - |
dc.creator | Santana, Ademir Eugênio de | - |
dc.creator | Khanna, Faqir C. | - |
dc.creator | Montigny, M. de | - |
dc.date.accessioned | 2014-02-13T18:27:16Z | - |
dc.date.issued | 2003 | - |
dc.identifier.issn | 0020-7748 | - |
dc.identifier.uri | http://repositorio.ufba.br/ri/handle/ri/14612 | - |
dc.description | Texto completo: acesso restrito. p. 649-671 | pt_BR |
dc.description.abstract | We illustrate a metric formulation of Galilean invariance by constructing wave equations with gauge fields. It consists of expressing nonrelativistic equations in a covariant form, but with a five-dimensional Riemannian manifold. First we use the tensorial expressions of electromagnetism to obtain the two Galilean limits of electromagnetism found previously by Le Bellac and Lévy-Leblond. Then we examine the nonrelativistic version of the linear Dirac wave equation. With an Abelian gauge field we find, in a weak field approximation, the Pauli equation as well as the spin—orbit interaction and a part reminiscent of the Darwin term. We also propose a generalized model involving the interaction of the Dirac field with a non-Abelian gauge field; the SU(2) Hamiltonian is given as an example. | pt_BR |
dc.language.iso | en | pt_BR |
dc.rights | Acesso Aberto | pt_BR |
dc.source | http://dx.doi.org/ 10.1023/A:1024485810807 | pt_BR |
dc.subject | Galilean invariance | pt_BR |
dc.subject | Riemannian geometry | pt_BR |
dc.subject | Gauge theory | pt_BR |
dc.subject | Wave equations | pt_BR |
dc.title | Nonrelativistic Wave Equations with Gauge Fields | pt_BR |
dc.title.alternative | International Journal of Theoretical Physics | pt_BR |
dc.type | Artigo de Periódico | pt_BR |
dc.identifier.number | v. 42, n. 4 | pt_BR |
dc.embargo.liftdate | 10000-01-01 | - |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
Files in This Item:
File | Description | Size | Format | |
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A. E. Santana.pdf | 101,68 kB | Adobe PDF | View/Open |
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