Symplectic schemes and the shooting method for eigenvalues of the Schrodinger equation

被引：0

作者：

Liu, XS ^{[1
]}

Chi, YH ^{[1
]}

Ding, PZ ^{[1
]}

机构：

[1] Jilin Univ, Inst Atom & Mol Phys, Changchun 130012, Peoples R China

来源：

CHINESE PHYSICS LETTERS | 2004年 / 21卷 / 09期

关键词：

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The one-dimensional time-independent Schrodinger 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 Schrodinger 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.

引用

页码：1681 / 1684

页数：4

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