Topologically coupled energy bands in molecules

Details Topologically coupled energy bands in molecules Topologically coupled energy bands in molecules

2002-04-18

arxiv.org/abs/quant-ph/0204100v1

Phys.Letters A, 302, p.242-252. 2002.

Physics

Quantum Physics

16 pages, 3 figures

Scientific paper

10.1016/S0375-9601(02)01171-4

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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