Topologically coupled energy bands in molecules
Quantum Physics
2009-11-07 v1
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.
Cite
@article{arxiv.quant-ph/0204100,
title = {Topologically coupled energy bands in molecules},
author = {Frederic Faure and Boris Zhilinskii},
journal= {arXiv preprint arXiv:quant-ph/0204100},
year = {2009}
}
Comments
16 pages, 3 figures