Artigo
Galilean covariance and non-relativistic Bhabha equations
Fecha
2001-10-26Registro en:
Journal of Physics A: Mathematical and General, v. 34, n. 42, p. 8901-8917, 2001.
0305-4470
10.1088/0305-4470/34/42/313
WOS:000172118600017
2-s2.0-0035955591
Autor
University of Alberta
TRIUMF
Universidade Federal da Bahia (UFBA)
Universidade Estadual Paulista (Unesp)
Resumen
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.