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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 193, Number 1, Pages 15–24
DOI: https://doi.org/10.4213/tmf9336 (Mi tmf9336) 		 
Constructive scattering theory

A. B. Shabat

Landau Institute for Theoretical Physics of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf9336
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.
Keywords: scattering theory, model equation, factorization, quasirational solution.
Funding agency Grant number
Russian Science Foundation 15-11-20007
This research is supported by a grant from the Russian Science Foundation (Project No. 15-11-20007).
Received: 16.01.2017
English version:
Theoretical and Mathematical Physics, 2017, Volume 193, Issue 1, Pages 1420–1428
DOI: https://doi.org/10.1134/S0040577917100026
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. B. Shabat, “Constructive scattering theory”, TMF, 193:1 (2017), 15–24; Theoret. and Math. Phys., 193:1 (2017), 1420–1428
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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