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Effective Hamiltonian approach to doubly degenerate electronic states

II-Applications to Er ⊗er' and G' ⊗e dynamical Jahn-Teller systems

  • Molecular Physics and Chemical Physics
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Abstract.

Effective vibronic Hamiltonian models are built for E ⊗e Jahn-Teller systems and analytical solutions are obtained through Lie algebraic methods. Although approximate, we show that these models allow in particular to recover the possible ground state crossover when quadratic couplings are present. The equivalence of E ⊗e and G' ⊗e vibronic systems in cubic symmetry is precisely established through a particular realization of the electronic operators for an orbital quadruplet. We show how this equivalence is broken by a rovibronic interaction which, for a G' ⊗e system, still gives an exactly solvable model.

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Authors and Affiliations

  1. Institut Carnot de Bourgogne, UMR 5209 CNRS, BP 47870, 21078, Dijon Cedex, France

    F. Michelot

  2. Groupe de Spectrométrie Moléculaire et Atmosphérique, UMR 6089 CNRS, BP 1039, 51687, Reims Cedex 2, France

    M. Rey

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  1. F. Michelot
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  2. M. Rey
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Correspondence to F. Michelot.

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Michelot, F., Rey, M. Effective Hamiltonian approach to doubly degenerate electronic states. Eur. Phys. J. D 44, 467–495 (2007). https://doi.org/10.1140/epjd/e2007-00243-1

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