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TMF, 2017, Volume 193, Number 1, Pages 15–24 (Mi tmf9336)  

Constructive scattering theory

A. B. Shabat

Landau Institute for Theoretical Physics of Russian Academy of Sciences, Moscow, Russia

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).


DOI: https://doi.org/10.4213/tmf9336

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English version:
Theoretical and Mathematical Physics, 2017, 193:1, 1420–1428

Bibliographic databases:

Received: 16.01.2017

Citation: A. B. Shabat, “Constructive scattering theory”, TMF, 193:1 (2017), 15–24; Theoret. and Math. Phys., 193:1 (2017), 1420–1428

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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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