Symmetry Groups and Gauss Kernels of the Schrödinger Equations with Potential Functions
Symmetry Groups and Gauss Kernels of the Schrödinger Equations with Potential Functions
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DOI：
10.1088/0256-307x/29/7/070301
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发表时间：
2012-07
影响因子：
3.5
通讯作者：
J. Kang 康;Chang-Zheng 长征 Qu 屈
中科院分区：
文献类型：
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作者：
J. Kang 康;Chang-Zheng 长征 Qu 屈
我们研究了一类（2+1）维线性Schrödinger方程的高斯核。建立了Schrödinger方程的李点对称性与高斯核之间的关系。证明了高斯核的经典积分变换可以由方程所承认的适当李点对称产生。然后我们可以通过逆积分变换恢复Schrödinger方程的高斯核。
We study the Gauss kernels for a class of (2+1)-dimensional linear Schrödinger equations with potential functions. The relationship between the Lie point symmetries and Gauss kernels for the Schrödinger 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 Schrödinger equations by performing the inverse integral transformation.