A TIME-DEPENDENT FORMULATION OF THE SCATTERING MATRIX USING MOLLER OPERATORS

被引:38
作者
WEEKS, DE
TANNOR, DJ
机构
[1] Department of Chemistry and Biochemistry, University of Notre Dame, Notre Dame
关键词
D O I
10.1016/0009-2614(93)89004-2
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Time-dependent wavepacket techniques are used together with the Moller operator formulation of scattering theory to derive an exact expression that relates scattering matrix elements to a correlation function between incoming reactant and outgoing product wavepackets. Using this expression, a computational strategy is developed for the numerical evaluation of scattering matrix elements that is focused on the independent propagation of reactant and product wavepackets. Computational efficiency is achieved through the use of different coordinates and interaction Hamiltonians that are well suited for the reactant and product channels. A simple one-dimensional scattering problem is used to illustrate the essential features of the method.
引用
收藏
页码:301 / 308
页数:8
相关论文
共 29 条
[1]   A REVIEW OF QUANTUM-MECHANICAL APPROXIMATE TREATMENTS OF 3-BODY REACTIVE SYSTEMS [J].
BAER, M .
ADVANCES IN CHEMICAL PHYSICS, 1982, 49 :191-309
[2]   THE CALCULATION OF PRODUCT QUANTUM STATE DISTRIBUTIONS AND PARTIAL CROSS-SECTIONS IN TIME-DEPENDENT MOLECULAR COLLISION AND PHOTODISSOCIATION THEORY [J].
BALINTKURTI, GG ;
DIXON, RN ;
MARSTON, CC ;
MULHOLLAND, AJ .
COMPUTER PHYSICS COMMUNICATIONS, 1991, 63 (1-3) :126-134
[3]  
BERNSTEIN RB, 1982, CHEM DYNAMICS VIA MO
[4]  
Child M. S., 1974, MOL COLLISION THEORY
[5]   QUANTUM REACTIVE SCATTERING OF 4-ATOM REACTIONS WITH NONLINEAR GEOMETRY - OH+H-2-]H2O+H [J].
CLARY, DC .
JOURNAL OF CHEMICAL PHYSICS, 1991, 95 (10) :7298-7310
[6]   TIME-DEPENDENT QUANTUM-MECHANICS USING PICOSECOND TIME STEPS - APPLICATION TO PREDISSOCIATION OF HEL2 [J].
DAS, S ;
TANNOR, DJ .
JOURNAL OF CHEMICAL PHYSICS, 1990, 92 (06) :3403-3409
[7]   THE RELATIVE KINETIC-ENERGY DISTRIBUTION OF THE HYDROGEN-ATOMS FORMED BY THE DISSOCIATION OF THE ELECTRONICALLY EXCITED H2 MOLECULE [J].
ENGEL, V ;
METIU, H .
JOURNAL OF CHEMICAL PHYSICS, 1988, 89 (04) :1986-1993
[8]  
GAZDY B, 1991, ADV MOL VIBRATIONS B, V1
[9]  
JELLINEK J, 1985, THEORY CHEM REACTION, V2
[10]   COLLINEAR QUANTUM-MECHANICAL PROBABILITIES FOR THE I+HI-]IH+I REACTION USING HYPERSPHERICAL COORDINATES [J].
KAYE, JA ;
KUPPERMANN, A .
CHEMICAL PHYSICS LETTERS, 1981, 77 (03) :573-579