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.
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页码：1681 / 1684
页数：4
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