Constructive scattering theory |
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Authors: | A. B. Shabat |
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Affiliation: | 1.Landau Institute for Theoretical Physics,Moscow,Russia |
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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. |
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