Continuous Spectra of Generalized Kronig-Penney Model

Details Continuous Spectra of Generalized Kronig-Penney Model Continuous Spectra of Generalized Kronig-Penney Model

1999-12-10

arxiv.org/abs/quant-ph/9912049v3

Journal of the Physical Society of Japan 73 (2004) 2986-2990

Physics

Quantum Physics

LaTeX 6 Pages (include 7 eps figures, use a personal sty file) For related articles, see also http://www.mech.kochi-tech.ac.jp

Scientific paper

10.1143/JPSJ.73.2986

The standard Kronig-Penney model with periodic $\delta$ 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.

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