Constructive scattering theory
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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.
Keywordsscattering theory model equation factorization quasirational solution
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- 8.R. Ch. Kulaev and A. B. Shabat, “Inverse Scattering problem for finite potentials in the space of Borel measures [in Russian],” Preprint, SMI VSC RAS, Vladikavkaz (2016).Google Scholar