Symmetry Groups and Gauss Kernels of the Schrodinger Equations with Potential Functions

被引：2

作者：

Kang Jing ^{[2
]}

Qu Chang-Zheng ^{[1
]}

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

[2] NW Univ Xian, Dept Math, Xian 710069, Peoples R China

来源：

CHINESE PHYSICS LETTERS | 2012年 / 29卷 / 07期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

FUNDAMENTAL-SOLUTIONS;

D O I：

10.1088/0256-307X/29/7/070301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the Gauss kernels for a class of (2+1)-dimensional linear Schrodinger equations with potential functions. The relationship between the Lie point symmetries and Gauss kernels for the Schrodinger equations is established. It is shown that a classical integral transformation of the Gauss kernel can be generated by a proper Lie point symmetry admitted by the equation. Then we can recover the Gauss kernels for the Schrodinger equations by performing the inverse integral transformation.

引用

页数：5

共 10 条

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