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Title: Quantum dynamics with real wave packets, including application to three-dimensional (J=0)D+H{sub 2}{r_arrow}HD+H reactive scattering

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.475495· OSTI ID:565688
 [1];  [2]
  1. Theoretical Chemistry Group, Chemistry Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
  2. School of Chemistry, The University of Bristol, Bristol BS8 1TS (United Kingdom)

We show how to extract {bold S} matrix elements for reactive scattering from just the real part of an evolving wave packet. A three-term recursion scheme allows the real part of a wave packet to be propagated without reference to its imaginary part, so {bold S} matrix elements can be calculated efficiently. Our approach can be applied not only to the usual time-dependent Schr{umlt o}dinger equation, but to a modified form with the Hamiltonian operator {cflx H} replaced by f({cflx H}), where f is chosen for convenience. One particular choice for f, a cos{sup {minus}1} mapping, yields the Chebyshev iteration that has proved to be useful in several other recent studies. We show how reactive scattering can be studied by following time-dependent wave packets generated by this mapping. These ideas are illustrated through calculation of collinear H+H{sub 2}{r_arrow}H{sub 2}+H and three-dimensional (J=0)D+H{sub 2}{r_arrow}HD+D reactive scattering probabilities on the Liu{endash}Siegbahn{endash}Truhlar{endash}Horowitz (LSTH) potential energy surface. {copyright} {ital 1998 American Institute of Physics.}

OSTI ID:
565688
Journal Information:
Journal of Chemical Physics, Vol. 108, Issue 3; Other Information: PBD: Jan 1998
Country of Publication:
United States
Language:
English