2011•arXiv (Cornell University)Open access

Splitting the Dirac equation: the case of longitudinal potentials

Andrzej Okniński

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.

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Key concepts: Dirac equation, Dirac (video compression format), Two-body Dirac equations, Mathematical physics, Massless particle, Dirac sea, Dirac algebra, MAJORANA