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

• DOI: 10.1016/j.physleta.2013.07.043
• Publication Date: 2013-08-01T17:31:10Z
• Authors: T. Iwai; B. Zhilinskii
• Keywords: Quantum Physics; 0103 physical sciences; FOS: Physical sciences; Mathematical Physics (math-ph); 0101 mathematics; Quantum Physics (quant-ph); 01 natural sciences; Mathematical Physics; 81V55

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.<br/>17 pages, 6 figures, misprints corrected, published in Phys. Lett.A<br/>