Abstract
The evolution of the vibrational motion of a water molecule which has been excited locally is studied. An exact solution is obtained of a model Hamiltonian representing the non-harmonic behaviour of the molecule. Since this is obtained numerically it does not explain what is observed but it leads to a simplified model of the motion in which different aspects can be isolated and discussed. For many initial modes, especially those of higher energy, there is a large initial drop in the probability of finding the energy in the original local mode. This is due to dephasing. The factors involved in dephasing are discussed. A simple hypothesis is suggested which leads to a formula for this drop and this agrees substantially with the graphical evidence. The relation between the drop and the amplitude of the initial mode is also discussed.
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