Dirac type relativistic quantum mechanics for massive photons
Abstract
Constructing a relativistic quantum mechanics (RQM) for a massive photon, without appealing to the quantum field theoretical approach such as the massive Proca model, we find a new theoretical particle solution which allows the massive photon having either positive or negative energy as solutions. In particular, we predict the existence of the so-called anti-photon corresponding to the negative energy solution, similar to the positron in the Dirac RQM for an electron. Note that the anti-photons could be an intense radiation flare of the gamma ray burst. In this RQM for the massive photon, we construct a positive definite probability density and a nontrivial diagonal Hamiltonian, and also discuss a massless photon. Moreover we confirm the covariances of the relativistic equation of motion for the massive photon and the corresponding probability continuity equation under the Lorentz transformation.
Keywords
Cite
@article{arxiv.2108.07299,
title = {Dirac type relativistic quantum mechanics for massive photons},
author = {Soon-Tae Hong},
journal= {arXiv preprint arXiv:2108.07299},
year = {2022}
}
Comments
10 pages, references added, publication version