22-8 Emily Blasten, Pavel Exner, Hiroshi Isozaki, Matti Lassas, Jinpeng Lu

Inverse problems for locally perturbed lattices - Discrete Hamiltonian and quantum graph (1129K, pdf) Feb 2, 22

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Abstract. We consider the inverse scattering problems for two types of Schr dinger 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.

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