SLCPM12 — A program for solving regular Sturm—Liouville problems

Abstract The code SLCPM12 first converts the original Sturm—Liouville equation into an equation of the Schrödinger form and then it solves the latter by means of a suited highly accurate method. The conversion is done by using Liouville's transformation and the numerical method for solving the Schrödinger equation is CPM12, 10 developed by Ixaru, De Meyer and Vanden Berghe, CP Methods for the Schrödinger Equation revisited, J. Comput. Appl. Math. (1998). The new code is by far faster and more accurate... Title of program: SLCPM12 Catalogue Id: ADJV_v1_0 Nature of problem Problems in classical and quantum mechanics which involve eigenstates. Versions of this program held in the CPC repository in Mendeley Data ADJV_v1_0; SLCPM12; 10.1016/S0010-4655(98)00181-7 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

摘要 代码SLCPM12首先将原始施图姆-刘维尔方程（Sturm—Liouville equation）转换为薛定谔方程（Schrödinger equation）形式，随后通过适配的高精度数值方法求解该转换后的方程。该转换过程采用刘维尔变换（Liouville's transformation）实现，而求解薛定谔方程的数值方法为CPM12（编号10），由Ixaru、De Meyer与Vanden Berghe在其1998年发表于《Journal of Computational and Applied Mathematics》的论文《CP Methods for the Schrödinger Equation revisited》中提出。这款新代码在运行速度与计算精度上均显著优于同类工具。
程序标题：SLCPM12
目录编号：ADJV_v1_0
问题本质：涉及本征态的经典力学与量子力学问题
Mendeley数据中CPC存储库留存的该程序版本：ADJV_v1_0; SLCPM12; 10.1016/S0010-4655(98)00181-7
本程序源自贝尔法斯特女王大学馆藏的CPC程序库（1969-2018）