On the use of adiabatic switching to locate quantized, periodic orbits: application to bound and reactive multidimensional problems

We show that the adiabatic switching method can be used to find periodic orbits in nonseparable multidimensional Hamiltonian systems. It is shown that the stable periodic orbits for the fully coupled system can be found by adiabatically propagating periodic orbits from a soluble zero order reference system. A general validity criterion for the technique is presented. The method is successfully tested on several two-dimensional coupled Morse oscillator problems. The most exciting applications are to chemical reactions. We successfully locate trapped, quantized orbits for collinear and three-dimensional models of the H+MuH and H+FH reactions.