Inverse scattering for Schrödinger operators on perturbed lattices

DOI10.1007/s00023-018-0721-3zbMath1457.81124arXiv1803.09499OpenAlexW3101196483MaRDI QIDQ1991538

Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka

Publication date: 30 October 2018

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09499

Mathematics Subject Classification ID

Inverse scattering problems in quantum theory (81U40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (S)-matrix theory, etc. in quantum theory (81U20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (9)

A Calderón type inverse problem for tree graphs ⋮ Asymptotic properties of generalized eigenfunctions for multi-dimensional quantum walks ⋮ Continuum limit for lattice Schrödinger operators ⋮ Gelfand's inverse problem for the graph Laplacian ⋮ Phase recovery from phaseless scattering data for discrete Schrödinger operators ⋮ Long-range scattering theory for discrete Schrödinger operators on graphene ⋮ Scattering on periodic metric graphs ⋮ Eigenvalues of periodic difference operators on lattice octants ⋮ Spectral and scattering theory for topological crystals perturbed by infinitely many new edges

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