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Chaos-induced breaking of the Franck-Condon approximation

Hisatsugu Yamasaki, Yuhei Natsume, Akira Terai, Katsuhiro Nakamura

nlin.CDarXiv:nlin/0311038

Abstract

We investigate the vibrational structure of electronic spectra for the transition from the non-degenerate A state to E states in Eg eg Jahn-Teller systems with the trigonal field included. In connection with the underlying chaotic behavior for vibronic energy levels in this model reported by the present authors in Phys.Rev. E68(2003)046201, we extend the analysis by Longuet-Higgins et al. to the classically chaotic system. In particular, the triple-humped structure is manifest with increasing the anharmonicity. Such structure is completely inconsistent with the shape obtained from Franck-Condon(FC) approximation, and is caused by the chaos-induced beaking of the FC principle.

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