dorsal/arxiv
View SchemaTopologically coupled energy bands in molecules
| Authors | Frederic Faure, Boris Zhilinskii |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204100 |
| URL | https://arxiv.org/abs/quant-ph/0204100 |
| DOI | 10.1016/S0375-9601(02)01171-4 |
| Journal | Phys.Letters A, 302, p.242-252. 2002. |
Abstract
We propose a concrete application of the Atiyah-Singer index formula in molecular physics, giving the exact number of levels in energy bands, in terms of vector bundles topology. The formation of topologically coupled bands is demonstrated. This phenomenon is expected to be present in many quantum systems.
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"abstract": "We propose a concrete application of the Atiyah-Singer index formula in\nmolecular physics, giving the exact number of levels in energy bands, in terms\nof vector bundles topology. The formation of topologically coupled bands is\ndemonstrated. This phenomenon is expected to be present in many quantum\nsystems.",
"arxiv_id": "quant-ph/0204100",
"authors": [
"Frederic Faure",
"Boris Zhilinskii"
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"doi": "10.1016/S0375-9601(02)01171-4",
"journal_ref": "Phys.Letters A, 302, p.242-252. 2002.",
"title": "Topologically coupled energy bands in molecules",
"url": "https://arxiv.org/abs/quant-ph/0204100"
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