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metadata.dc.type: | Artigo de Periódico |
Title: | Galilean Duffin–Kemmer–Petiau algebra and symplectic structure |
Other Titles: | Journal of Physics -London- a Mathematical and General |
Authors: | Santana, Ademir Eugênio de Vianna, J. D. M. Fernandes, M. C. B. |
metadata.dc.creator: | Santana, Ademir Eugênio de Vianna, J. D. M. Fernandes, M. C. B. |
Abstract: | We develop the Duffin–Kemmer–Petiau (DKP) approach in the phase-space picture of quantum mechanics by considering DKP algebras in a Galilean covariant context. Specifically, we develop an algebraic calculus based on a tensor algebra defined on a five-dimensional space which plays the role of spacetime background of the non-relativistic DKP equation. The Liouville operator is determined and the Liouville–von Neumann equation is written in two situations: the free particle and a particle in an external electromagnetic field. A comparison between the non-relativistic and the relativistic cases is commented. |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/14609 |
Issue Date: | 2003 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
Files in This Item:
File | Description | Size | Format | |
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A. E. Santana.pdf | 239,71 kB | Adobe PDF | View/Open |
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