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Discrete Multichannel Scattering with Step-like Potential

  • Isaac Alvarez-Romero
  • Yurii Lyubarskii
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 261)

Abstract

We study direct and inverse scattering problem for systems of interacting particles that have web-like structure. Such systems consist of a finite number of semi-infinite chains attached to the central part formed by a finite number of particles. We assume that the semi-infinite channels are homogeneous at infinity, but the limit values of the coefficients may vary from one chain to another.

Keywords

Inverse scattering problem Jacobi matrices quantum graphs 

Mathematics Subject Classification (2010)

Primary 34L25. Secondary 81U40 47B36 05C50 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematical SciencesNorwegian University of Science and TechnologyTrondheimNorway

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