Discrete Multichannel Scattering with Step-like Potential

DOI10.1007/978-3-319-59078-3_5zbMath1410.82013arXiv1612.05528OpenAlexW3194334774MaRDI QIDQ4612124

Isaac Alvarez-Romero, Yurij I. Lyubarskij

Publication date: 22 January 2019

Published in: 50 Years with Hardy Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05528

zbMATH Keywords

Jacobi matricesquantum graphsinverse scattering problem

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inverse scattering problems in quantum theory (81U40) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Inelastic and multichannel quantum scattering (81U35)

Cites Work

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• Scattering problems on noncompact graphs
• One-dimensional scattering theory for quantum systems with nontrivial spatial asymptotics
• Direct and inverse multichannel scattering problems
• Can one hear the shape of a graph?
• The toda shock problem
• Inverse eigenvalue problems on directed graphs
• Scattering theory for Jacobi operators with a steplike quasi-periodic background
• Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
• Inverse spectral problem for quantum graphs

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