Artigo Publicado em Periódico
Dirac Oscillator in a Galilean Covariant Non-commutative Space
Fecha
2013Registro en:
0020-7748
v. 52, n. 2
Autor
Melo, Genilson Ribeiro de
Montigny, M. de
Pompeia, P. J.
Santos, E. S.
Melo, Genilson Ribeiro de
Montigny, M. de
Pompeia, P. J.
Santos, E. S.
Institución
Resumen
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.