On massless and spinless particles with varying speed

2013/03/01 by S. I. Kruglov
Physics and Astronomy · #Differential equation #Hamiltonian (control theory) #Lorentz covariance #Lorentz transformation #Massless particle #Matrix (chemical analysis) #Noncommutative and Quantum Gravity Theories #Projection (relational algebra) #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #Term (time) #Wave equation #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1209/0295-5075/101/60010

published as Europhys. Lett., Vol. 101 (2013), 60010 · 9 pages, no figures, to appear in EPL

openalex publication_date 2013/03/01 · arxiv created 2013/03/11 · arxiv updated 2013/04/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Classification of dimension-5 Lorentz-violating interactions in the standard model
• Lorentz-violating extension of the standard model
• Data tables for Lorentz andCPTviolation
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Spontaneous breaking of Lorentz symmetry in string theory