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 This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
4
March
2005
Published online:
12
May
2005
Abstract
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
