Resonant Transmission in One-Dimensional Quantum Mechanics with Two Independent Point Interactions: Full Parameter Analysis
Quantum Physics
2017-09-21 v2 High Energy Physics - Theory
Abstract
We discuss the scattering of a quantum particle by two independent successive point interactions in one dimension. The parameter space for two point interactions is given by , which is described by eight real parameters. We perform an analysis of perfect resonant transmission on the whole parameter space. By investigating the effects of the two point interactions on the scattering matrix of plane wave, we find the condition under which perfect resonant transmission occurs. We also provide the physical interpretation of the resonance condition.
Keywords
Cite
@article{arxiv.1706.01595,
title = {Resonant Transmission in One-Dimensional Quantum Mechanics with Two Independent Point Interactions: Full Parameter Analysis},
author = {Kohkichi Konno and Tomoaki Nagasawa and Rohta Takahashi},
journal= {arXiv preprint arXiv:1706.01595},
year = {2017}
}
Comments
24 pages, 9 figures, minor revision