najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2015-6-2-192-197najo-909Research ArticlePAPERS, PRESENTED AT THE CONFERENCEPAPERS, PRESENTED AT THE CONFERENCEThe relativistic inverse scattering problem for quantum graphsSabirovK. K.

4 University St., 100074, Tashkent

karimjonsabirov@yahoo.comSobirovZ. A.

4 University St., 100074, Tashkent

KarpovaO. V.

4 University St., 100074, Tashkent

17 Niyazov St., 100095, Tashkent

SaidovA. A.

17 Niyazov St., 100095, Tashkent

National University of UzbekistanUzbekistanNational University of Uzbekistan; Turin Polytechnic University in TashkentUzbekistanTurin Polytechnic University in TashkentUzbekistan20151408202562192197Copyright © Sabirov K.K., Sobirov Z.A., Karpova O.V., Saidov A.A., 20252025Sabirov K.K., Sobirov Z.A., Karpova O.V., Saidov A.A.Sabirov K.K., Sobirov Z.A., Karpova O.V., Saidov A.A.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/909

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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The authors declare that there are no conflicts of interest present.