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 6×6 matrix equation. Solutions of the equation in the form of projection matrix are obtained. The Schr\"odinger form of the equation is obtained and the quantum-mechanical Hamiltonian is found.

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