局部扰动格点的反问题--离散哈密顿量与量子图
Inverse problems for locally perturbed lattices -- Discrete Hamiltonian and quantum graph
摘要：
本文研究了两类薛定谔算子在局部扰动周期格点上的逆散射问题。对于离散哈密顿量，所有能量的S-矩阵的知识决定了图的结构和哈密顿量的系数。对于局部扰动的等边度量图，所有能量的S-矩阵的知识决定了图的结构。
英文摘要：
We consider the inverse scattering problems for two types of Schrödinger operators on locally perturbed periodic lattices. For the discrete Hamiltonian, the knowledge of the S-matrix for all energies determines the graph structure and the coefficients of the Hamiltonian. For locally perturbed equilateral metric graphs, the knowledge of the S-matrix for all energies determines the graph structure.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
