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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Аннотация
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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