Geodesic
The relativistic inverse scattering problem for quantum graphs
Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 2, pp. 192-197.

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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
Mots-clés : Dirac equation. 
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     title = {The relativistic inverse scattering problem for quantum graphs},
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K. K. Sabirov; Z. A. Sobirov; O. V. Karpova; A. A. Saidov. The relativistic inverse scattering problem for quantum graphs. Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 2, pp. 192-197. http://geodesic.mathdoc.fr/item/NANO_2015_6_2_a3/