Symplectic Schemes and the Shooting Method for Eigenvalues of the Schrodinger Equation

作     者：刘学深 匙玉华 丁培柱 

作者机构：InstituteofAtomicandMolecularPhysicsJilinUniversityChangchun130012 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2004年第21卷第9期

页      面：1681-1684页

核心收录：

学科分类：070207[理学-光学] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 0702[理学-物理学] 

基　　金：国家自然科学基金 国家973计划 吉林大学青年教师基金 

主　　题：Eigenvalues and eigenfunctions 

摘      要：The one-dimensional time-independent Schrödinger equation is transformed into a Hamiltonian canonical equation by means of the Legendre transformation, then the symplectic schemes and a new shooting method extended to the eigenvalues of the Schrödinger equation. The method is applied to the calculations of one-dimensional harmonic oscillator, an anharmonic oscillator and the hydrogen atom. The numerical results are in good agreement with the exact ones.