On massless and spinless particles with varying speed
S. I. Kruglov
TL;DR
This paper investigates a wave equation for massless, spinless particles with Lorentz violation causing variable particle speed, deriving solutions, a Schrödinger form, and a quantum Hamiltonian.
Contribution
It introduces a first-order matrix form of the wave equation for such particles and derives the quantum-mechanical Hamiltonian, advancing theoretical understanding.
Findings
Derived projection matrix solutions
Formulated Schrödinger form of the equation
Identified the quantum Hamiltonian
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 66 matrix equation. Solutions of the equation in the form of projection matrix are obtained. The Schr\"{o}dinger form of the equation is obtained and the quantum-mechanical Hamiltonian is found.
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