Inverse Problems for Locally Perturbed Lattices – Discrete Hamiltonian and Quantum Graph
Annales Henri Lebesgue(2024)
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.
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关键词
Inverse Spectral Problems,Hamiltonian Dynamics
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