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Quantum stochastic approach for molecule/surface scattering. I. Atom–phonon interactions

J. Chem. Phys. 99, 8229 (1993); doi:10.1063/1.465648

Issue Date: 15 November 1993

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Eric R. Bittner and John C. Light
The James Franck Institute and the Department of Chemistry, The University of Chicago, Chicago, Illinois 60637
We present a general, fully quantum mechanical theory for molecule surface scattering at finite temperature within the time dependent Hartree (TDH) factorization. We show the formal manipulations which reduce the total molecule–surface–bath Schrödinger equation into a form which is computationally convenient to use. Under the TDH factorization, the molecular portion of the wavefunction evolves according to a mean-field Hamiltonian which is dependent upon both time and temperature. The temporal and thermal dependence is due to stochastic and dissipative terms that appear in the Heisenberg equations of motion for the phonon operators upon averaging over the bath states. The resulting equations of motion are solved in one dimension self consistently using quantum wavepackets and the discrete variable representation. We compute energy transfer to the phonons as a function of surface temperature and initial energy and compare our results to results obtained using other mean-field models, namely an averaged mean-field model and a fully quantum model based upon a dissipative form of the quantum Liouville equation. It appears that the model presented here provides a better estimation of energy transfer between the molecule and the surface. The Journal of Chemical Physics is copyrighted by The American Institute of Physics.
History: Received 25 June 1993; accepted 10 August 1993
Permalink: http://link.aip.org/link/?JCPSA6/99/8229/1
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KEYWORDS and PACS

Keywords
PACS
  • 79.20.Nc
    Electron and ion emission by liquids and solids; impact phenomena Impact phenomena (including electron spectra and sputtering) Atom, molecule, and ion impact
  • 03.65.Nk
    Classical and quantum physics: mechanics and fields Quantum theory; quantum mechanics Nonrelativistic scattering theory
  • YEAR: 1993

PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
Publisher:
AIP is a member of CrossRef AIP

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