Galilean covariance and non-relativistic Bhabha equations
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2001-10-26
Autores
De Montigny, M.
Khanna, F. C.
Santana, A. E.
Santos, E. S. [UNESP]
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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.
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Journal of Physics A: Mathematical and General, v. 34, n. 42, p. 8901-8917, 2001.