Bound states of the one-dimensional Dirac equation for scalar and vector double square-well potentials
Quantum Physics
2015-06-17 v4
Abstract
We have analytically studied bound states of the one-dimensional Dirac equation for scalar and vector double square-well potentials (DSPs), by using the transfer-matrix method. Detailed numerical calculations of the eigenvalue, wave function and density probability have been performed for the three cases: (1) vector DSP only, (2) scalar DSP only, and (3) scalar and vector DSPs with equal magnitudes. We discuss the difference and similarity among results of the cases (1)-(3) in the Dirac equation and that in the Schr\"{o}dinger equation. Motion of a wave packet is calculated for a study on quantum tunneling through the central barrier in the DSP.
Keywords
Cite
@article{arxiv.1309.0308,
title = {Bound states of the one-dimensional Dirac equation for scalar and vector double square-well potentials},
author = {Hideo Hasegawa},
journal= {arXiv preprint arXiv:1309.0308},
year = {2015}
}
Comments
26 pages, 13 figures. Augmented text