EXPONENTIAL SOLUTION OF SCHRODINGER EQUATION - POTENTIAL SCATTERING

被引：30

作者：

CHANG, D

LIGHT, JC

机构：

[1] James Franck Institute, Department of Chemistry, University of Chicago, Chicago

来源：

JOURNAL OF CHEMICAL PHYSICS | 1969年 / 50卷 / 06期

关键词：

D O I：

10.1063/1.1671410

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：

The exponential matrix method of Magnus is applied to the solution of the time-independent Schrödinger equation for potential scattering. The formal properties of this method as a numerical technique are analyzed and the close connections to the WKBJ approximation are also shown. The use of the Magnus series is shown to yield the correct behavior near the origin without the Langer modification of the WKBJ equation. Applications to the scattering from above a potential barrier and to the phase shifts for a Lennard-Jones (12-6) potential are given.

引用

页码：2517 / &

共 12 条

[1] NUMERICAL EVALUATION OF BARRIER PENETRATION AND RESONANCE EFFECTS ON PHASE SHIFTS
BERNSTEIN, RB
CURTISS, CF
IMAMRAHA.S
WOOD, HT
[J]. JOURNAL OF CHEMICAL PHYSICS, 1966, 44 (11) : 4072 - +
[2] Froman N., 1965, CONTRIBUTIONS THEORY, V1st
[3] HEADING J, 1962, INTRODUCTION PHASE I
[4] NUMERICAL EVALUATION OF QUANTUM EFFECTS ON TRANSPORT CROSS SECTIONS
IMAMRAHA, S
CURTISS, CF
BERNSTEIN, RB
[J]. JOURNAL OF CHEMICAL PHYSICS, 1965, 42 (02) : 530 - +
[5] PHASE SHIFTS AND QUANTUM-MECHANICAL HAMILTON-JACOBI EQUATION
KOURI, DJ
CURTISS, CF
[J]. JOURNAL OF CHEMICAL PHYSICS, 1965, 43 (06) : 1919 - &
[6] On the connection formulas and the solutions of the wave equation
Langer, RE
[J]. PHYSICAL REVIEW, 1937, 51 (08): : 0669 - 0676
[7] ON THE EXPONENTIAL SOLUTION OF DIFFERENTIAL EQUATIONS FOR A LINEAR OPERATOR
MAGNUS, W
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1954, 7 (04) : 649 - 673
[8] Mott N. F., 1965, THEORY ATOMIC COLLIS
[9] ON EXPONENTIAL FORM OF TIME-DISPLACEMENT OPERATORS IN QUANTUM MECHANICS
PECHUKAS, P
LIGHT, JC
[J]. JOURNAL OF CHEMICAL PHYSICS, 1966, 44 (10) : 3897 - &
[10] ter Haar D., 1964, SELECTED PROBLEMS QU

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