2016/06/20 by Zhi Xiao
Medicine · Physics and Astronomy · #Black Holes and Theoretical Physics #Condensed matter physics #Electron #Helicity #Lorentz factor #Lorentz transformation #Neuroblastoma Research and Treatments #Noncommutative and Quantum Gravity Theories #Physics #Polarization (electrochemistry) #Quantum mechanics #Quantum tunnelling #Scattering #hep-ph
paper · pdf · doi:10.1103/physrevd.93.125022
3 pages, 1 figures, Presented at the Seventh Meeting on CPT and Lorentz Symmetry, Bloomington, Indiana, June 20-24, 2016
openalex publication_date 2016/06/20 · arxiv created 2016/07/12 · arxiv updated 2016/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we discuss the impact of a tiny Lorentz violating b^\ensuremathμ term on the one-dimensional motion of a Dirac particle scattering on a rectangular barrier. We assume the experiment is done in a particular inertial frame, where the components of b^\ensuremathμ are assumed constants. The results show that Lorentz violation modification to the transmission rate depends on the nature of b^\ensuremathμ. For a purely time-like b^\ensuremathμ=(b,\stackrel\ensuremath→0), the transmission rate and resonant tunneling frequency are essentially unaltered compared with the Lorentz invariant counterparts, though the dispersion relation is slightly modified. For a space-like or light-like b^\ensuremathμ, the incoming electron is polarized, and the Lorentz violation induced resonant frequency shift depends on the polarization. In fact, for certain special cases, like b^\ensuremathμ=b(0,\stackrel\ensuremath→eZ) or b^\ensuremathμ=b(1,\stackrel\ensuremath→eZ), the absolute frequency difference between different helicity eigenstates with the same resonant number n is 2b. In addition to being of theoretical interest in the high energy region, its quantum analogue may be experimentally realizable in other areas of physics, like graphene or optical lattices, and may generate some cross interests in both fields.