PERTURBATIVE SOLUTIONS OF QUANTUM-MECHANICAL PROBLEMS BY SYMBOLIC COMPUTATION

被引：8
|
作者：
SCOTT, TC
MOORE, RA
MONAGAN, MB
FEE, GJ
VRSCAY, ER
机构：
[1] UNIV WATERLOO,DEPT COMP SCI,WATERLOO N2L 3G1,ONTARIO,CANADA
[2] UNIV WATERLOO,DEPT APPL MATH,WATERLOO N2L 3G1,ONTARIO,CANADA
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 1990年 / 87卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Computation theory - Linear equations - Perturbation techniques - Quantum theory;
D O I：
10.1016/0021-9991(90)90258-3
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Symbolic computation provides excellent tools for solving quantum mechanical problems by perturbation theory. The techniques presented herein avoid the use of an infinite basis set and some of the complications of degenerate perturbation theory. The algorithms are expressed in the Maple symbolic computation system and solve for both the eigenfunctions and eigenenergies as power series in the order parameter. Further, each coefficient of the perturbation series is obtained in closed form. In particular, this paper examines the application of these techniques to R. A. Moore's method for solving the radial Dirac equation. One is confident that the techniques presented will also be useful in other applications. © 1990.
引用
收藏
页码：366 / 395
页数：30
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