Accurate boundary treatment for time-dependent 3D Schrodinger equation under Spherical coordinates

被引：1
|
作者：
Zhang, Linfeng [1 ,2 ]
Jia, Hongfei [1 ]
Bian, Lei [1 ,3 ]
Ran, Bin [2 ]
机构：
[1] Jilin Univ, Sch Transportat, Changchun 130012, Peoples R China
[2] Univ Wisconsin, 1212 Engn Hall,1415 Engn Dr, Madison, WI 53706 USA
[3] Travelsky Mobile Technol Ltd, Beijing 100087, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2020年 / 31卷 / 01期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Three-dimensional Schrodinger equation; spherical coordinates; boundary conditions; NUMERICAL-SOLUTION; TRANSPARENT; SCHEMES;
D O I：
10.1142/S0129183120500151
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We propose a novel local boundary condition for three-dimensional Schrodinger equation under spherical coordinates. It is based on the approximate linear relationship among the Bessel functions from a free one-dimensional Schrodinger equation. With a variable transform, the novel boundary condition is a simple form of some ordinary differential equations, which relate the grid point near the numerical boundaries. Numerical tests and comparisons demonstrate the effectiveness of the proposed boundary conditions.
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页数：13
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