P. Jungwirth et al., QUANTUM MOLECULAR-DYNAMICS OF LARGE SYSTEMS BEYOND SEPARABLE APPROXIMATION - THE CONFIGURATION-INTERACTION CLASSICAL SEPARABLE POTENTIAL METHOD, The Journal of chemical physics, 107(21), 1997, pp. 8963-8974
A nonseparable method for time-dependent quantum simulations of large
polyatomic systems is presented and applied to the dynamics of the I2A
r17 cluster, following electronic excitation of the iodine molecule. T
he new method is an extension of the classical separable potential (CS
P) approximation, in which the evolution of each mode is governed by a
time-dependent mean potential due to the other modes and the total wa
ve packet is a product of single mode wave functions. The computationa
l effectiveness of the CSP approach stems from the use of classical mo
lecular dynamics (MD) trajectories, carried out at the outset oi the p
rocedure, for obtaining the effective single-mode potentials. The pres
ent method generalizes the CSP scheme by a configuration interaction (
CI) treatment, in which the total wave packet is represented as a line
ar combination of separable terms? with coefficients determined from t
he time-dependent Schrodinger equation. The single mode wave functions
for each configuration are propagated along effective potentials that
are generated using individual classical trajectories. The classical;
MD simulation is also used for simplifying the dynamical equations for
the CI coefficients. Thus. the selection of correlations that are inc
luded quantum mechanically is guided by classical mechanics, which is
the basis for the computational efficiency of this approach. The CI wa
ve packet for the I2Ar17 system with 51 vibrational degrees of freedom
was propagated for 500 fs following I-2 (B<--X) excitation. About 150
0 configurations proved sufficient for convergence of the CI series. T
he separable approximation to the wave function holds for 60 fs and be
gins to break down upon the first collision of the iodine atoms with a
rgons. After the second iodine-argon collision this breakdown is almos
t complete, and at t = 500 fs the CSP term represents less than 5% of
the correlated wave packet. Both absorption and resonance Raman spectr
a are, however, well described by the separable CSP method, since they
are determined within the first 60 fs. The CI-CSP method offers very
good accuracy due to inclusion of important correlation effects betwee
n different modes, while remaining computationally feasible for system
s up to 100 degrees of freedom and more. (C) 1997 American Institute o
f Physics.