Inverse problems for quantum graph associated with square and hexagonal lattices

2024/09/04 by Ando, K., Blåsten, E., Exner, P. +5
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2409.02605

Abstract

We solve inverse problems from the D-N map for the quantum graph on a finite domain in a square lattice and that on a hexagonal lattice, as well as inverse scattering problems from the S-matrix for a locally perturbed square lattice and a hexagonal lattice.

Related

• Inverse problems for locally perturbed lattices -- Discrete Hamiltonian and quantum graph
• Inverse scattering on the quantum graph for graphene
• Inverse scattering on the quantum graph -- Edge model for graphen
• Inverse spectral problem for the Schrödinger operator on the square lattice
• THE QUANTUM METHOD OF THE INVERSE PROBLEM AND THE HEISENBERG XYZ MODEL