Super-Klein tunneling of Klein-Gordon particles
Abstract
We study the total transmission of quantum particles satisfying the Klein-Gordon equation through a potential barrier based on the classical wave propagation theory. We deduce an analytical expression for the wave impedance for Klein-Gordon particles. From the condition that the impedance is matched throughout the space, we show that super-Klein tunneling, which refers to the omnidirectional total transmission of particles through a potential barrier when the energy of the particle is equal to the half of the barrier potential, should occur in these systems. We also derive a condition for total transmission of Klein-Gordon particles in the presence of both scalar and vector potentials and discuss the influence of weak scattering at the interfaces on super-Klein tunneling. The theoretical predictions are confirmed by explicit numerical calculations of the transmittance based on the invariant imbedding method.
Cite
@article{arxiv.1901.04655,
title = {Super-Klein tunneling of Klein-Gordon particles},
author = {Kihong Kim},
journal= {arXiv preprint arXiv:1901.04655},
year = {2019}
}
Comments
5 pages, 4 figures