K. Bolton et S. Nordholm, BEATS IN INTERNAL VIBRATIONAL-ENERGY REDISTRIBUTION IN TRANS-STILBENE- A STUDY OF THE QUANTUM AND CLASSICAL CORRESPONDENCE, Chemical physics, 207(1), 1996, pp. 63-76
Starting from recently observed beating patterns in trans-stilbene we
consider the correspondence of classical molecular dynamics and quantu
m dynamics for the description of the internal vibrational energy redi
stribution in molecules. The beat frequency of two modes in 2:1 resona
nce is investigated with respect to quantum effects, sensitivity to an
harmonic coupling and indirect coupling via a third oscillator. We fin
d a robust correspondence between classical and quantum beat frequenci
es but a large sensitivity to the coupling terms in the potential. Ref
ined anharmonic coupling appears to be needed to resolve the very low
frequency beating patterns observed in trans-stilbene.