Modified Dirac equation with Lorentz invariance violation and its solutions for particles in an external magnetic field
General Relativity and Quantum Cosmology
2013-01-03 v3 High Energy Physics - Theory
Abstract
The second-order modified Dirac equation leading to the modified dispersion relation due to the Lorentz invariance violation corrections is suggested. The equation is formulated in the 16-component first- order form. I have obtained the projection matrix extracting solutions of the equation with definite spin projections which can be considered as the density matrix for pure spin states. Exact solutions of the equation are found for particles in the external constant and uniform magnetic field. The synchrotron radiation radius within the novel modified Dirac equation is estimated.
Keywords
Cite
@article{arxiv.1210.0509,
title = {Modified Dirac equation with Lorentz invariance violation and its solutions for particles in an external magnetic field},
author = {S. I. Kruglov},
journal= {arXiv preprint arXiv:1210.0509},
year = {2013}
}
Comments
11 pages, corrected typo in Eq.(10)