Splitting the Dirac equation: the case of longitudinal potentials

Abstract

Recently, we have demonstrated that some subsolutions of the free Duffin-Kemmer-Petiau and the Dirac equations obey the same Dirac equation with some built-in projection operators. In the present paper we study the Dirac equation in the interacting case. It is demonstrated that the Dirac equation in longitudinal external fields can be also splitted into two covariant subequations.

LaTeX, 8 pages, two references added

References in corpus (6)

• Lorentz symmetry breaking as a quantum field theory regulator
• Bosons, fermions and anyons in the plane, and supersymmetry
• Supersymmetric content of the Dirac and Duffin-Kemmer-Petiau equations
• Bosonized supersymmetry from the Majorana-Dirac-Staunton theory and massive higher-spin fields
• Supersymmetry of the planar Dirac - Deser-Jackiw-Templeton system, and of its non-relativistic limit
• Supersymmetry between Jackiw-Nair and Dirac-Majorana anyons

Cited by in corpus (6)

• Analysis Tools for Next-Generation Hadron Spectroscopy Experiments
• Some statistical aspects of the spinor field Fermi-Bose duality
• Generalized solutions of the Dirac equation, W bosons, and beta decay
• Some remarks on relativistic zero-mass wave equations and supersymmetry
• The spin-one Duffin-Kemmer-Petiau equation revisited: analytical study of its structure and a careful choice of interaction
• Wilson loops with arbitrary charges