Topological Chern indices in molecular spectra

Details Topological Chern indices in molecular spectra Topological Chern indices in molecular spectra

1999-12-20

arxiv.org/abs/quant-ph/9912091v1

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.85.960

Topological Chern indices are related to the number of rotational states in each molecular vibrational band. Modification of the indices is associated to the appearance of ``band degeneracies'', and exchange of rotational states between two consecutive bands. The topological dynamical origin of these indices is proven through a semi-classical approach, and their values are computed in two examples. The relation with the integer quantum Hall effect is briefly discussed.

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