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Discrete Multichannel Scattering with step-like potential

Spectral Theory 2016-12-19 v1 Mathematical Physics math.MP

Abstract

We study direct and inverse scattering problem for systems of interacting particles, having 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

Cite

@article{arxiv.1612.05528,
  title  = {Discrete Multichannel Scattering with step-like potential},
  author = {Isaac Alvarez-Romero and Yurii Lyubarskii},
  journal= {arXiv preprint arXiv:1612.05528},
  year   = {2016}
}

Comments

22 pages

R2 v1 2026-06-22T17:26:14.630Z