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- W2471388893 abstract "In this paper, we discuss the impact of a tiny Lorentz violating ${b}^{ensuremath{mu}}$ 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 ${b}^{ensuremath{mu}}$ are assumed constants. The results show that Lorentz violation modification to the transmission rate depends on the nature of ${b}^{ensuremath{mu}}$. For a purely time-like ${b}^{ensuremath{mu}}=(b,stackrel{ensuremath{rightarrow}}{0})$, 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 ${b}^{ensuremath{mu}}$, the incoming electron is polarized, and the Lorentz violation induced resonant frequency shift depends on the polarization. In fact, for certain special cases, like ${b}^{ensuremath{mu}}=b(0,{stackrel{ensuremath{rightarrow}}{e}}_{Z})$ or ${b}^{ensuremath{mu}}=b(1,{stackrel{ensuremath{rightarrow}}{e}}_{Z})$, 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." @default.
- W2471388893 created "2016-07-22" @default.
- W2471388893 creator A5063439073 @default.
- W2471388893 date "2016-06-20" @default.
- W2471388893 modified "2023-09-27" @default.
- W2471388893 title "Impact of Lorentz violation on the Klein tunneling effect" @default.
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- W2471388893 doi "https://doi.org/10.1103/physrevd.93.125022" @default.
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