Modified Dirac equation with Lorentz invariance violation and its solutions for particles in an external magnetic field |
| |
Authors: | SI Kruglov |
| |
Affiliation: | Department of Chemical and Physical Sciences, University of Toronto at Mississauga, 3359 Mississauga Rd. North, Mississauga, Ontario, L5L 1C6, Canada |
| |
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: | |
本文献已被 ScienceDirect 等数据库收录! |
|