Extension of the WKB method to wave functions and transition probability amplitudes (S-matrix) for inelastic or reactive collisions

被引:176
作者
Marcus, R. A. [1 ]
机构
[1] Univ Illinois, Dept Chem, Urbana, IL 61801 USA
关键词
D O I
10.1016/0009-2614(70)80164-6
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
A WKB-type method is used to calculate the wave function and S-matrix for these collisions directly, instead of applying WKB to the customary infinite set of coupled differential equations. Action-angle variables and exact or approximate classical trajectories are used.
引用
收藏
页码:525 / 532
页数:8
相关论文
共 22 条
[11]   ASYMPTOTIC SOLUTION OF EIGENVALUE PROBLEMS [J].
KELLER, JB .
ANNALS OF PHYSICS, 1960, 9 (01) :24-75
[12]  
Landau L., 1988, MECHANICS
[13]   CANONICAL OPERATORS FOR SIMPLE HARMONIC OSCILLATOR [J].
LEAF, B .
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (11) :1980-&
[16]  
MARCUS RA, IN PRESS J CHEM PHYS
[17]  
MESSIAH A, 1961, QUANTUM MECH, V2, P838
[19]  
MOTT NF, 1965, THEORY ATOMIC COLLIS, P436
[20]  
SNEDDON IN, 1957, ELEMENTS PARTIAL DIF, P64