SOLVING SECOND ORDER DIFFERENTIAL EQUATIONS IN QUANTUM MECHANICS BYORDER REDUCTION

作     者：C.Ted Chen 

作者机构：Grace Semiconductor Manufacturing Corporation 2nd Floor 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2003年第23卷第2期

页      面：274-288页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

主　　题：Second order differential equations quantum mechanics common solution 

摘      要：Solving the famous Hermite, Legendre, Laguerre and Chebyshev equations requires different techniques of unique character for each equation. By reducing these differential equations of second order to a common solvable differential equation of first order, a simple common solution is provided to cover all the existing standard solutions of these named equations. It is easier than the method of generating functions and more powerful than the Probenius method of power series.