Theoretical and Mathematical Physics

, Volume 193, Issue 1, pp 1420–1428 | Cite as

Constructive scattering theory

  • A. B. ShabatEmail author


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.


scattering theory model equation factorization quasirational solution 


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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Landau Institute for Theoretical PhysicsMoscowRussia

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