English

Bound state in continuum like solutions in one-dimensional hetero-structures

Materials Science 2012-10-02 v1 High Energy Physics - Theory Mathematical Physics math.MP Quantum Physics

Abstract

We examine the one dimensional Dirac equation with modulated or position dependent velocity. In particular, it is shown that using suitable velocity profiles it is possible to create bound state in continuum (BIC) like, as well as, discrete energy bound state solutions.

Keywords

Cite

@article{arxiv.1207.3639,
  title  = {Bound state in continuum like solutions in one-dimensional hetero-structures},
  author = {O. Panella and P. Roy},
  journal= {arXiv preprint arXiv:1207.3639},
  year   = {2012}
}

Comments

9 pages, two figures. Version to match the one to appear in Physics Letters A

R2 v1 2026-06-21T21:36:10.764Z