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Qualitative features of the rearrangement of molecular energy spectra from a "wall-crossing" perspective

arXiv
Authors: Boris Zhilinskii, Toshihiro Iwai

Year

2013

Paper ID

33487

Status

Preprint

Abstract Read

~2 min

Abstract Words

77

Citations

N/A

Abstract

Qualitatively different systems of molecular energy bands are studied on example of a parametric family of effective Hamiltonians describing rotational structure of triply degenerate vibrational state of a cubic symmetry molecule. The modification of band structure under variation of control parameters is associated with a topological invariant "delta-Chern". This invariant is evaluated by using a local Hamiltonian for the control parameter values assigned at the boundary between adjacent parameter domains which correspond to qualitatively different band structures.

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  • Qualitatively different systems of molecular energy bands are studied on example of a parametric family of effective Hamiltonians describing rotational structure of triply...

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