Sc. Farantos, PERIODIC-ORBITS AS A PROBE TO REVEAL EXOTIC STATES IN VIBRATIONALLY EXCITED MOLECULES - THE SADDLE-NODE STATES, Laser chemistry, 13(2), 1993, pp. 87-99
We present theoretical results which show the existence of isomerizing
localized quantum states above potential barriers for the excited B-1
(2) of SO2 and O3. These states are assigned by periodic orbits which
emerge from saddle-node bifurcations, the characteristic of which is t
he simultaneous generation of two families of periodic orbits one stab
le and one unstable. Similar isomerizing states and bifurcations have
been found for other molecules, and this leads to the conclusion, that
the appearance of saddle-node type states may be a generic phenomenon
for molecular potentials with barriers.