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Nanosystems: Physics, Chemistry, Mathematics, 2015, Volume 6, Issue 2, Pages 192–197
DOI: https://doi.org/10.17586/2220-8054-2015-6-2-192-197 (Mi nano932) 		 
The relativistic inverse scattering problem for quantum graphs

K. K. Sabirova, Z. A. Sobirova, O. V. Karpovaab, A. A. Saidovb

a National University of Uzbekistan, 4 University St., 100074, Tashkent, Uzbekistan
b Turin Polytechnic University in Tashkent, 17 Niyazov St., 100095, Tashkent, Uzbekistan
Full-text PDF (224 kB)
DOI: https://doi.org/10.17586/2220-8054-2015-6-2-192-197
Abstract: In this paper, we treat the inverse scattering problem for the Dirac equation on metric graphs. Using the known scattering data, we recover the potential in the Dirac equation. The Gel'fand–Levitan–Marchenko integral equation is derived and potential is explicitly obtained for the case of a primary star graph.
Keywords: quantum graph, inverse scattering problem, Dirac equation.
Received: 02.02.2015
Bibliographic databases:
Document Type: Article
PACS: 02.30.Zz, 03.65.Pm
Language: English
Citation: K. K. Sabirov, Z. A. Sobirov, O. V. Karpova, A. A. Saidov, “The relativistic inverse scattering problem for quantum graphs”, Nanosystems: Physics, Chemistry, Mathematics, 6:2 (2015), 192–197
Citation in format AMSBIB
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\by K.~K.~Sabirov, Z.~A.~Sobirov, O.~V.~Karpova, A.~A.~Saidov
\paper The relativistic inverse scattering problem for quantum graphs
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2015
\vol 6
\issue 2
\pages 192--197
\mathnet{http://mi.mathnet.ru/nano932}
\crossref{https://doi.org/10.17586/2220-8054-2015-6-2-192-197}
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\elib{https://elibrary.ru/item.asp?id=23238121 }
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