A periodically forced oscillator model of van der Waals fragmentation: Classical and quantum dynamics

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Abstract
A one degree of freedom, periodically forced Hamiltonian is shown to describe much of the relevant classical dynamics observed in earlier studies of a two degree-of-freedom model for HeI2 fragmentation. The simplicity of the forced oscillator model permits easy, but thorough numerical investigation of the quantum dynamics of fragmentation using an accurate wave packet propagation method. Quantum dynamics results are compared with classical dynamics results based on both the usual quasiclassical procedure for selecting initial conditions and on the Wigner distribution. The exact Wigner distribution as a function of time is obtained from the quantum dynamics results and very interesting, unexpected parallels with the classical phase space structure are evident.