Covariant Majorana Formulation of Electrodynamics
S. Esposito (I.N.F.N. Sezione di Napoli)
TL;DR
This paper develops a covariant Majorana formulation of electromagnetism that avoids using the vector potential, enabling a Dirac-like equation for photons with detailed spin and helicity properties.
Contribution
It introduces a novel covariant Majorana approach to Maxwell's equations, deriving photon properties without relying on the vector potential.
Findings
Derived spin and boost matrices for photons.
Formulated a Dirac-like equation for the photon.
Analyzed the helicity properties of the photon.
Abstract
We construct an explicit covariant Majorana formulation of Maxwell electromagnetism which does not make use of vector 4-potential. This allows to write a ``Dirac'' equation for the photon containing all the known properties of it. In particular, the spin and (intrinsic) boost matrices are derived and the helicity properties of the photon are studied.
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Taxonomy
TopicsQuantum optics and atomic interactions · Cold Atom Physics and Bose-Einstein Condensates · Quantum Mechanics and Non-Hermitian Physics