Lf. Chibotaru, EFFECTIVE HAMILTONIAN FOR MULTIMODE STATIC JAHN-TELLER EFFECT IN POLYCENTRE VIBRONIC SYSTEMS, Journal of physics. A, mathematical and general, 27(20), 1994, pp. 6919-6927
The adiabatic potential of an arbitrary polycentre system with multimo
de vibronic interaction at each centre is investigated. It is shown th
at in the case when the extrema of this adiabatic potential are consid
ered, an effective Hamiltonian for the static Jahn-Teller effect depen
ding only on active one-centre nuclear displacements can be proposed.
The expressions for the parameters of this Hamiltonian are obtained an
d its symmetry properties are elucidated.