Discrete Multichannel Scattering with step-like potential

TL;DR

This paper investigates the direct and inverse scattering problems for complex systems of interacting particles arranged in a web-like structure, focusing on systems with semi-infinite chains attached to a finite central part, with varying coefficients at infinity.

Contribution

It introduces a framework for analyzing scattering in systems with multiple semi-infinite chains connected to a finite core, accounting for variable asymptotic coefficients.

Findings

Developed methods for solving direct scattering problems in web-like particle systems.

Established approaches for inverse scattering to reconstruct system parameters.

Analyzed the impact of varying coefficients on scattering behavior.

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.