https://doi.org/10.1140/epjd/e2005-00066-0
Effective Hamiltonian approach to doubly degenerate electronic states
I — Theory and applications to E ⊗ (b1+b2) and related Jahn-Teller systems
1
Laboratoire de Physique de L'Université de
Bourgogne, CNRS UMR 5027, BP 47870, 21078 Dijon Cedex, France
2
Groupe de
Spectrométrie Moléculaire et Atmosphérique, CNRS UMR 6089,
BP 1039, 51687 Reims Cedex 2, France
Corresponding author: a Francoise.Michelot@u-bourgogne.fr
Received:
4
March
2005
Published online:
12
May
2005
Several problems in vibronic spectroscopy are solved
within the effective Hamiltonian formalism combined with Lie
algebraic methods. We consider mainly vibronic interactions in
orbital doublets for molecules with a principal symmetry axis of
order n=4k (or n even for Dnd symmetry groups). Effective
Hamiltonian models for 
, 
and 
Jahn-Teller dynamical systems
are discussed as well as some correlations with previous studies
established.
PACS: 03.65.Fd – Algebraic methods / 33.20.Tp – Vibrational analysis / 33.20.Wr – Vibronic, rovibronic, and rotation-electron-spin interactions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005
