Quantum transmission for embedded, locally periodic potentials -- amplitude-phase approaches
Abstract
Quantum particle transmission through locally periodic potentials surrounded by symmetric exterior potentials is analyzed. Closed-form conditions for locating energy peaks of total transmission are derived. Floquet/Bloch energy band types are defined and found to affect the number of peaks in transmission bands. Modifications of band types and a band fusion phenomenon are discussed. The theoretical approaches suggested consist of several ways to express a Schr\"{o}dinger wave as an amplitude function multiplying a harmonic function of a phase function. In particular, an approach containing a Floquet/Bloch periodic amplitude function and a corresponding phase function is described for the locally periodic region, allowing a way to specify quantum numbers for energies of total transmission.
Keywords
Cite
@article{arxiv.2005.11695,
title = {Quantum transmission for embedded, locally periodic potentials -- amplitude-phase approaches},
author = {Karl-Erik Thylwe},
journal= {arXiv preprint arXiv:2005.11695},
year = {2020}
}
Comments
No published before