Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2017, Volume 13, Number 1, Pages 3–34
DOI: https://doi.org/10.15407/mag13.01.003 (Mi jmag661) 		 
On the abstract inverse scattering problem for trace class perturbations

R. Hatamleha, V. A. Zolotarevb

a Department of Mathematics, Jadara University, Irbid-Jordan
b B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Nauky Ave., Kharkiv 61103, Ukraine
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DOI: https://doi.org/10.15407/mag13.01.003
Abstract: The scattering problem for a pair of selfadjoint operators $\{L_0, L\}$, where $L - L_0$ is of trace-class, is studied. The explicit form of the scattering matrix and its properties are defined. The equation for the inverse problem is obtained.
Key words and phrases: scattering matrix, Friedrichs–Faddeev model, inverse scattering problem.
Received: 15.07.2015
Revised: 03.11.2015
Bibliographic databases:
Document Type: Article
MSC: 47A45
Language: English
Citation: R. Hatamleh, V. A. Zolotarev, “On the abstract inverse scattering problem for trace class perturbations”, Zh. Mat. Fiz. Anal. Geom., 13:1 (2017), 3–34
Citation in format AMSBIB
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\by R.~Hatamleh, V.~A.~Zolotarev
\paper On the abstract inverse scattering problem for trace class perturbations
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2017
\vol 13
\issue 1
\pages 3--34
\mathnet{http://mi.mathnet.ru/jmag661}
\crossref{https://doi.org/10.15407/mag13.01.003}
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