摘要
给出一个基于两步近似法的REDUCE程序用来解多项式非谐振子,程序简明且适合微型电子计算机求解。包括哈密顿变换,矩阵元的获得、变分参数满足的方程的求导以及Fortron程序的自动生成,都可以通过计算机轻而易举地实现。作为例子,计算四次谐振子体系,它的结果同精确计算相比较是一致的。
A REDUCE program based on the two step approach is developed to solve the Schrodinger equation with polynomial potential. The program is very simple and suitable to be carried out on microcomputer, The transformation for Hamiltonian, the obtaining of matrix elements, the derivation of the equation which must be satisfied by the parameter in variation method and even the Fortran program for numerical calculation are all completed or generated by computer automatically, As an example the pure quartic oscillator is calcuated and the results are compared with those available in literatures, Agreements are excellent.
出处
《计算物理》
CSCD
北大核心
1990年第2期250-255,共6页
Chinese Journal of Computational Physics
基金
Projects Supported by the Science Fund of the Chinese Academy of Science
关键词
多项式
非谐振子
REDUCE程序
REDUCE progam, polynomial anharmonic oscillators, tow step approach, noncommutative operators
