R. Baer et R. Kosloff, QUANTUM DISSIPATIVE DYNAMICS OF ADSORBATES NEAR METAL-SURFACES - A SURROGATE HAMILTONIAN THEORY APPLIED TO HYDROGEN ON NICKEL, The Journal of chemical physics, 106(21), 1997, pp. 8862-8875
Dissipative dynamics of an adsorbate near a metal surface is formulate
d consistently by replacing the infinite system-bath Hamiltonian by a
finite surrogate Hamiltonian. This finite representation is designed t
o generate the true short time dynamics of a primary system coupled to
a bath. A detailed wave packet description is employed for the primar
y system while the bath is represented by an array of two-level system
s. The number of bath modes determines the period the surrogate Hamilt
onian reproduces the dynamics of the primary system. The convergence o
f this construction is studied for the dissipating Harmonic oscillator
and the double-well tunneling problem. Converged results are obtained
for a finite duration by a bath consisting of 4-11 modes. The formali
sm is extended to dissipation caused by electron-hole-pair excitations
. The stopping power for a slow moving proton is studied showing devia
tions from the frictional limit at low velocities. Vibrational line sh
apes of hydrogen and deuterium on nickel were studied. In the bulk the
line shape is mostly influenced by nonadiabatic effects. The interpla
y between two baths is studied for low temperature tunneling between t
wo surface sites of hydrogen on nickel. A distinction between lattice
modes that enhance the tunneling and ones that suppress it was found.
(C) 1997 American Institute of Physics.