New numerical method for the eigenvalue problem of the 2D Schrodinger equation

被引：14
|
作者：
Ixaru, L. Gr. [1 ]
机构：
[1] Horia Hulubei Natl Inst Phys & Nucl Engn, Dept Theoret Phys, Bucharest, Romania
来源：
COMPUTER PHYSICS COMMUNICATIONS | 2010年 / 181卷 / 10期
关键词：
2D Schrodinger equation; Eigenvalue problem; CP methods; STURM-LIOUVILLE; WAVE-GUIDES; CP METHODS;
D O I：
10.1016/j.cpc.2010.06.031
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The method consists in a flexible transformation of the 2D problem into a set of 1D single and coupled channel problems. This set of problems is then solved numerically by some highly tuned codes. By choosing codes based on CP methods and formulating an ad-hoc shooting procedure for the localization of the eigenenergies we obtain a version which is very efficient for speed and memory requirements. Extension of the method to more dimensions is also possible. (c) 2010 Elsevier B.V. All rights reserved.
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页码：1738 / 1742
页数：5
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