Symmetry Groups and Gauss Kernels of the Schr（o）dinger Equations with Potential Functions

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2012,（7）
• 页码范围: 1-5
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/0256-307X/29/7/070301

摘要

We study the Gauss kernels for a class of (2+1)-dimensional linear Schr(o)dinger equations with potential functions.The relationship between the Lie point symmetries and Gauss kernels for the Schr(o)dinger 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 Schr(o)dinger equations by performing the inverse integral transformation.