Inverse scattering on the quantum graph -- Edge model for graphen

2019/11/13 by Ando, Kazunori, Isozaki, Hiroshi, Korotyaev, Evgeny +1
#47A40 #81U40 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1911.05233

Abstract

We consider the inverse scattering on the quantum graph associated with the hexagonal lattice. Assuming that the potentials on the edges are compactly supported, we show that the S-matrix for all energies in any open set in the continuous spectrum determines the potentials.

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