Dirac type relativistic quantum mechanics for massive photons
arXiv:2108.07299 · doi:10.1016/j.nuclphysb.2022.115852
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.
arXiv comment10 pages, references added, publication version
References in corpus (7)
- A bright gamma-ray flare interpreted as a giant magnetar flare in NGC 253
- Dynamics of stringy congruence in early universe
- Singularities in geodesic surface congruence
- Bound state in continuum like solutions in one-dimensional hetero-structures
- Inhomogeneous compact extra dimensions and de Sitter cosmology
- Dirac quantization and baryon intrinsic frequencies in hypersphere soliton model
- Photon intrinsic frequency and size in stringy photon model