Resonant transmission in onedimensional quantum mechanics with two independent point interactions: Full parameter analysis
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 U(2) × U(2) , 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.
 Publication:

Annals of Physics
 Pub Date:
 October 2017
 DOI:
 10.1016/j.aop.2017.08.031
 arXiv:
 arXiv:1706.01595
 Bibcode:
 2017AnPhy.385..729K
 Keywords:

 Onedimensional quantum system;
 Transmission;
 Resonance;
 Quantum Physics;
 High Energy Physics  Theory
 EPrint:
 24 pages, 9 figures, minor revision