Effective Hamiltonian approach to doubly degenerate electronic states |
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Authors: | F Michelot M Rey |
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Institution: | (1) Institut Carnot de Bourgogne, UMR 5209 CNRS, BP 47870, 21078 Dijon Cedex, France;(2) Groupe de Spectrométrie Moléculaire et Atmosphérique, UMR 6089 CNRS, BP 1039, 51687 Reims Cedex 2, France |
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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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Keywords: | 03 65 Fd Algebraic methods 33 20 Tp Vibrational Analysis 33 20 Wr Vibronic rovibronic and rotation-electron-spin interactions |
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