On the Inverse Problem for Quantum Graphs with One Cycle
نویسنده
چکیده
Quantum graphs having one cycle are considered. It is shown that if the cycle contains at least three vertices, then the potential on the graph can be uniquely reconstructed from the corresponding Titchmarsh-Weyl function (Dirichlet-to-Neumann map) associated with graph’s boundary, provided certain non-resonant conditions are satisfied. PACS numbers: 03.65.Nk, 73.63.-b, 85.35.-p.
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