| We derive expressions for the scattering matrix and the Wigner-Smith delay time, applicable to open systems in two and three spatial dimensions, in terms of a non-Hermitian effective Hamiltonian whose complex eigenvalues give the quasibound state energies of the system. We use this theory to show the influence of stable and unstable periodic orbits on the energy eigenstates of the HOCl molecule above dissociation. The energy range considered is low enough to hold the HO bond fixed, allowing a 2D model of the molecule. Above dissociation unstable periodic orbits, in a chaotic sea, anchor quasibound states of the molecule. Quasibound states are found to have lifetimes ranging over six orders of magnitude. |
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