Resonances in the chaotic regime. Interpretation in terms of periodic orbits

Marston, C. Clay
November 1995
Journal of Chemical Physics;11/15/1995, Vol. 103 Issue 19, p8456
Academic Journal
A method using classical mechanics to identify exact resonance eigenstates of a reactive scattering system is presented. Semiclassical approximate eigenstates are first constructed from classical trajectories of a defining topology. The semiclassical wave functions then serve as initial states for an exact quantum time-dependent wave packet propagation. The quality of the initial semiclassical approximation is readily apparent from the extent to which the spectrum of the resulting dynamics is dominated by a single peak. The systematic construction of the resonant eigenstate spectrum in association with a progression through defining classical topologies is emphasized, and the predictive implications of the method for approximating essential resonant eigenstate nodal structure and energies are discussed. © 1995 American Institute of Physics.


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