English

Inverse problems for quantum graph associated with square and hexagonal lattices

Mathematical Physics 2024-09-05 v1 math.MP

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.

Keywords

Cite

@article{arxiv.2409.02605,
  title  = {Inverse problems for quantum graph associated with square and hexagonal lattices},
  author = {K. Ando and E. Blåsten and P. Exner and H. Isozaki and E. Korotyaev and M. Lassas and J. Lu and H. Morioka},
  journal= {arXiv preprint arXiv:2409.02605},
  year   = {2024}
}
R2 v1 2026-06-28T18:33:50.923Z