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Constructive scattering theory. (English. Russian original) Zbl 1387.81362
Theor. Math. Phys. 193, No. 1, 1420-1428 (2017); translation from Teor. Mat. Fiz. 193, No. 1, 15-24 (2017).
Summary: 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.
81U05 \(2\)-body potential quantum scattering theory
Full Text: DOI
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