1208.2546 (Aristides I. Kechriniotis et al.)

New bilinear equations for the solutions of Dirac equation in presence
of a general electromagnetic field    [PDF]

Aristides I. Kechriniotis, Christos A. Tsonos, Konstantinos K. Delibasis

In this work, we derive new bilinear equations independent from electromagnetic 4-potentials that are satisfied from all Dirac solutions. One of these bilinear equations has the form of a general continuity equation. We show also that any Dirac solution cannot satisfy two Dirac equations with different mass. Finally, given any Dirac solution, we derive the necessary and sufficient condition for this Dirac solution to correspond to a unique electromagnetic 4-potential, as well as an explicit expression for this 4-potential as a function of the Dirac solution.

View original: http://arxiv.org/abs/1208.2546