Spectra of periodic Schrödinger operators on the degenerate zigzag nanotube with \(\delta\) type vertex conditions (Q464262)
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scientific article; zbMATH DE number 6358018
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectra of periodic Schrödinger operators on the degenerate zigzag nanotube with \(\delta\) type vertex conditions |
scientific article; zbMATH DE number 6358018 |
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Spectra of periodic Schrödinger operators on the degenerate zigzag nanotube with \(\delta\) type vertex conditions (English)
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17 October 2014
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This paper deals with Schrödinger operators having a periodic potential and \(\delta\)-type vertex conditions on a metric graph, which is called the degenerate zigzag nanotube. The authors consider the spectrum and demonstrate that the spectrum has band structure. Moreover, they give the asymptotics of the band edges. The results are new and valuable.
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zigzag nanotube
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spectral gap
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band structure
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Schrödinger operator
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\(\delta\) type vertex conditions
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0.9466632
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0.94381994
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0.9311801
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0.90501964
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0.89151686
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0.87953866
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0.87269515
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0.8695661
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0.85635954
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