caa a22 4500 606166386 CHVBK 20210128100658.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10440-014-9992-y doi (NATIONALLICENCE)springer-10.1007/s10440-014-9992-y Local Description of Band Rearrangements [Elektronische Daten] Comparison of Semi-quantum and Full Quantum Approach [Toshihiro Iwai, Boris Zhilinskii] Rearrangement of rotation-vibration energy bands in isolated molecules within semi-quantum approach is characterized by delta-Chern invariants, each of which is associated to a locally approximated semi-quantum Hamiltonian valid in a small neighborhood of a degeneracy point for the initial semi-quantum Hamiltonian and also valid in a small neighborhood of a critical point corresponding to the crossing of the boundary between iso-Chern domains in the control parameter space. For a full quantum model, a locally approximated Hamiltonian is assumed to take the form of a Dirac operator together with a specific boundary condition. It is demonstrated that the crossing of the boundary along a path with a delta-Chern invariant equal to ±1 corresponds to the transfer of one quantum level from a subspaces of quantum states to the other subspace associated with respective positive and negative energy eigenvalues of the local Dirac Hamiltonian. Springer Science+Business Media Dordrecht, 2014 Energy band nationallicence Chern number nationallicence Dirac operator nationallicence Iwai Toshihiro Kyoto University, 606-8501, Kyoto, Japan aut Zhilinskii Boris Université du Littoral Côte d'Opale, 189A av. M. Schumann, 59140, Dunkerque, France aut Acta Applicandae Mathematicae Springer Netherlands 137/1(2015-06-01), 97-121 0167-8019 137:1<97 2015 137 10440 https://doi.org/10.1007/s10440-014-9992-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9992-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Iwai Toshihiro Kyoto University, 606-8501, Kyoto, Japan aut NATIONALLICENCE 700 1- Zhilinskii Boris Université du Littoral Côte d'Opale, 189A av. M. Schumann, 59140, Dunkerque, France aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 137/1(2015-06-01), 97-121 0167-8019 137:1<97 2015 137 10440