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metadata.dc.type: | Artigo de Periódico |
Title: | Galilean covariance and non-relativistic Bhabha equations |
Other Titles: | Journal of Physics -London- a Mathematical and General |
Authors: | Santana, Ademir Eugênio de Montigny, M. de Khanna, Faqir C. Santos, E. S. |
metadata.dc.creator: | Santana, Ademir Eugênio de Montigny, M. de Khanna, Faqir C. Santos, E. S. |
Abstract: | We apply a five-dimensional formulation of Galilean covariance to construct non-relativistic Bhabha first-order wave equations which, depending on the representation, correspond either to the well known Dirac equation (for particles with spin 1/2) or the Duffin-Kemmer-Petiau equation (for spinless and spin 1 particles). Here the irreducible representations belong to the Lie algebra of the `de Sitter group' in 4+1 dimensions, SO(5,1). Using this approach, the non-relativistic limits of the corresponding equations are obtained directly, without taking any low-velocity approximation. As a simple illustration, we discuss the harmonic oscillator. |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/14660 |
Issue Date: | 2001 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
Files in This Item:
File | Description | Size | Format | |
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A. E. Santana.pdf | 144,69 kB | Adobe PDF | View/Open |
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