Continuous Spectra of Generalized Kronig-Penney Model
Quantum Physics
2007-05-23 v3 Condensed Matter
Abstract
The standard Kronig-Penney model with periodic potentials is extended to the cases with generalized contact interactions. The eigen equation which determines the dispersion relation for one-dimensional periodic array of the generalized contact interactions is deduced with the transfer matrix formalism. Numerical results are presented which reveal unexpected band spectra with broader band gap in higher energy region for generic model with generalized contact interaction.
Keywords
Cite
@article{arxiv.quant-ph/9912049,
title = {Continuous Spectra of Generalized Kronig-Penney Model},
author = {Taksu Cheon and T. Shigehara},
journal= {arXiv preprint arXiv:quant-ph/9912049},
year = {2007}
}
Comments
LaTeX 6 Pages (include 7 eps figures, use a personal sty file) For related articles, see also http://www.mech.kochi-tech.ac.jp/cheon/