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

• 作 者: KANG Jing QU Chang-Zheng
• 机 构: Department of Mathematics, Northwest University, Xi’an 710069“,”Department of Mathematics, Ningbo Un
• 出 处: 中国物理快报（英文版）
• 发表日期: 2012年7期

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