On massless and spinless particles with varying speed

Abstract

The wave equation for spin-0 massless particles with the Lorentz violating term leading to varying speed of particles is considered. This equation is represented as the first-order 6$\times$6 matrix equation. Solutions of the equation in the form of projection matrix are obtained. The Schrödinger form of the equation is obtained and the quantum-mechanical Hamiltonian is found.

Comments: 9 pages, no figures, to appear in EPL