English

Topological Chern indices in molecular spectra

Quantum Physics 2009-10-31 v1

Abstract

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.

Cite

@article{arxiv.quant-ph/9912091,
  title  = {Topological Chern indices in molecular spectra},
  author = {Frederic Faure and Boris Zhilinskii},
  journal= {arXiv preprint arXiv:quant-ph/9912091},
  year   = {2009}
}

Comments

4 pages, 3 figures

R2 v1 2026-07-22T20:07:44.027Z