The relativistic inverse scattering problem for quantum graphs
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.
About the Authors
K. K. Sabirov
National University of Uzbekistan
Uzbekistan
Uzbekistan
4 University St., 100074, Tashkent
Z. A. Sobirov
National University of Uzbekistan
Uzbekistan
Uzbekistan
4 University St., 100074, Tashkent
O. V. Karpova
National University of Uzbekistan; Turin Polytechnic University in Tashkent
Uzbekistan
Uzbekistan
4 University St., 100074, Tashkent
17 Niyazov St., 100095, Tashkent
A. A. Saidov
Turin Polytechnic University in Tashkent
Uzbekistan
Uzbekistan
17 Niyazov St., 100095, Tashkent
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Review
For citations:
Sabirov K.K., Sobirov Z.A., Karpova O.V., Saidov A.A. The relativistic inverse scattering problem for quantum graphs. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(2):192-197. https://doi.org/10.17586/2220-8054-2015-6-2-192-197
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