Please use this identifier to cite or link to this item:
https://repositorio.ufba.br/handle/ri/12924
metadata.dc.type: | Artigo de Periódico |
Title: | Dirac Oscillator in a Galilean Covariant Non-commutative Space |
Other Titles: | International Journal of Theoretical Physics |
Authors: | Melo, Genilson Ribeiro de Montigny, M. de Pompeia, P. J. Santos, E. S. |
metadata.dc.creator: | Melo, Genilson Ribeiro de Montigny, M. de Pompeia, P. J. Santos, E. S. |
Abstract: | We study the Galilean Dirac oscillator in a non-commutative situation, with space-space and momentum-momentum non-commutativity. The wave equation is obtained via a ‘Galilean covariant’ approach, which consists in projecting the covariant equations from a (4, 1)-dimensional manifold with light-cone coordinates, to a (3, 1)-dimensional Galilean space-time. We obtain the exact wave functions and their energy levels for the plane and discuss the effects of non-commutativity. |
Keywords: | Non-commutative geometry Galilean covariance Dirac equation |
Publisher: | International Journal of Theoretical Physics |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/12924 |
Issue Date: | 2013 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
Files in This Item:
File | Description | Size | Format | |
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111111111ss.pdf | 620,91 kB | Adobe PDF | View/Open |
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