dorsal/arxiv
View SchemaContinuous Spectra of Generalized Kronig-Penney Model
| Authors | Taksu Cheon, T. Shigehara |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9912049 |
| URL | https://arxiv.org/abs/quant-ph/9912049 |
| DOI | 10.1143/JPSJ.73.2986 |
| Journal | Journal of the Physical Society of Japan 73 (2004) 2986-2990 |
Abstract
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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"abstract": "The standard Kronig-Penney model with periodic $\\delta$ potentials is\nextended to the cases with generalized contact interactions. The eigen equation\nwhich determines the dispersion relation for one-dimensional periodic array of\nthe generalized contact interactions is deduced with the transfer matrix\nformalism. Numerical results are presented which reveal unexpected band spectra\nwith broader band gap in higher energy region for generic model with\ngeneralized contact interaction.",
"arxiv_id": "quant-ph/9912049",
"authors": [
"Taksu Cheon",
"T. Shigehara"
],
"categories": [
"quant-ph",
"cond-mat"
],
"doi": "10.1143/JPSJ.73.2986",
"journal_ref": "Journal of the Physical Society of Japan 73 (2004) 2986-2990",
"title": "Continuous Spectra of Generalized Kronig-Penney Model",
"url": "https://arxiv.org/abs/quant-ph/9912049"
},
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