title: Using scattering theory to compute invariant manifolds and numerical results for the laser-driven Hénon-Heiles system.
abstract: Scattering theory is a convenient way to describe systems that are subject to time-dependent perturbations which are localized in time. Using scattering theory, one can compute time-dependent invariant objects for the perturbed system knowing the invariant objects of the unperturbed system. In this paper, we use scattering theory to give numerical computations of invariant manifolds appearing in laser-driven reactions. In this setting, invariant manifolds separate regions of phase space that lead to different outcomes of the reaction and can be used to compute reaction rates.
authors.affiliation: Department of Mathematics, University of Texas at Austin, 1 University Station C1200, Austin, Texas 78712, USA. blazevski@imes.mavt.ethz.ch
authors.forename: Daniel
authors.initials: D
authors.lastname: Blazevski
authors.forename: Jennifer
authors.initials: J
authors.lastname: Franklin