Kazunori Ando, Hiroshi Isozaki, Evgeny Korotyaev, Hisashi Morioka
Published 2021-02-10Version 1
We consider the inverse scattering on the quantum graph associated with the hexagonal lattice. Assuming that the potentials on the edges are compactly supported and symmetric, we show that the S-matrix for all energies in any given open set in the continuous spectrum determines the potentials.
Comments: Many parts of this paper, especially the part dealing with the the forward problem, can be generalized to more general lattices, which can be seen in arXiv:1911.05233
Inverse scattering on the quantum graph -- Edge model for graphen
An elementary introduction to quantum graphs
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