Time dependent formulation of polyatomic photofragmentation: Application to H3+

Abstract
We present a new approach to photofragmentation which through its explicit time dependence avoids the difficulties normally associated with calculation of Franck–Condon processes. No scattering eigenfunctions or Franck–Condon overlaps are required, yet the formulae are exact within the same assumptions as the usual time independent theory. Semiclassical implementation of the method is described in connection with a successful application to H+3, which involves, in our model, a multiple continuum breakup final state on one of two excited state surfaces treated. Full arrangement and energy partitioning information are given on both surfaces in a calculation whose main numerical effort involves running five classical trajectories.