The relativistic inverse scattering problem for quantum graphs
K.K. SabirovNational University of Uzbekistan, 4 University St., 100074, Tashkent, UzbekistanZ. A. SobirovNational University of Uzbekistan, 4 University St., 100074, Tashkent, UzbekistanО. В. КарповаNational University of Uzbekistan, 4 University St., 100074, Tashkent, UzbekistanA. A. SaidovTurin Polytechnic University in Tashkent, 17 Niyazov St., 100095, Tashkent, Uzbekistan
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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.
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