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COMPUTING EXPECTATION VALUES FOR MOLECULAR QUANTUM DYNAMICS

delete2010-01-01
delete17
PRE
AI
C
Caroline Lasser *
S
Susanna Röblitz
DOI:10.1137/090770461delete
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摘要

摘要

En 中文
We compute expectation values for the solution of the nuclear Schrodinger equation. The proposed particle method consists of three steps: sampling of the initial Wigner function, classical transport of the sampling points, and weighted phase space summation for the final computation of the expectation values. The Egorov theorem guarantees that the algorithm is second order accurate with respect to the semiclassical parameter. We present numerical experiments for a two-dimensional torsional potential with three different sets of initial data and for a six-dimensional Henon-Heiles potential. By construction, the computing times scale linearly with the number of initial sampling points and range between three seconds and one hour.
Keyword:
time dependent Schrodinger equation
molecular quantum dynamics
expectation values
Wigner functions

期刊

SIAM Journal on Scientific Computing 封面图
SIAM Journal on Scientific Computing
IF:
2.6
论文数:
5.1K
被引数:
1.8W

机构

F
Free University of Berlin
学者数:
3.8W
论文数: 3.2W
被引数: 51
Zuse Institute Berlin 封面图
Zuse Institute Berlin
学者数:
426
论文数: 354
被引数: 367
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