Foundations of Physics

, Volume 44, Issue 9, pp 973–989

Majorana-Oppenheimer Approach to Proca Field Equations

Article

DOI: 10.1007/s10701-014-9824-y

Cite this article as:
Tomazelli, J.L. & Fernandes, G.A.M.A. Found Phys (2014) 44: 973. doi:10.1007/s10701-014-9824-y

Abstract

A Dirac-like equation for a massive field obeying the classical Proca equations of motion (PMO) is proposed in close analogy with Majorana’s construct for Maxwell electrodynamics. Its underlying algebraic structure is examined and a plausible physical interpretation is discussed. The behavior of the PMO equations in the presence of an external electromagnetic field is also investigated in the low energy limit, via unitary transformations similar to the Foldy-Wouthuysen canonical transformation for a Dirac fermion.

Keywords

Classical field theory Proca equations Foldy-Wouthuysen (unitary) transformations 

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Departamento de FísicaUniversidade Federal de Santa CatarinaFlorianópolisBrazil

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