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Constructive scattering theory


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Abstract

We consider a problem of factoring the scattering matrix for Schrödinger equation on the real axis. We find the elementary factorization blocks in both the finite and infinite cases and establish a relation to the matrix conjugation problem. We indicate a general scheme for constructing a large class of scattering matrices admitting a quasirational factorization.

About the authors

A. B. Shabat

Landau Institute for Theoretical Physics

Author for correspondence.
Email: shabatab@mail.ru
Russian Federation, Moscow

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