通过散射数据恢复量子树的形状
Recovering the shape of a quantum tree by scattering data
摘要：
我们考虑一个散射问题所产生的Sturm-Liouville方程的树，其中包括一个等边紧凑的子树与铅（一个半无限的边缘）连接到这个紧凑的子树。我们假设在有限边上的势为L_2-函数，在引线上的势恒为零。我们将展示如何找到的形状的树使用的S-函数的散射问题。
英文摘要：
We consider a scattering problem generated by the Sturm-Liouville equation on a tree which consists of a equilateral compact subtree with a lead (a half-infinite edge) attached to this compact subtree. We assume that the potential on the lead is zero identically and the potentials on the finite edges are L_2-functions. We show how to find the shape of the tree using the S-function of the scattering problem.
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