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Наносистемы: физика, химия, математика

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The relativistic inverse scattering problem for quantum graphs

https://doi.org/10.17586/2220-8054-2015-6-2-192-197

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.

Об авторах

K. Sabirov
National University of Uzbekistan
Узбекистан


Z. Sobirov
National University of Uzbekistan
Узбекистан


O. Karpova
National University of Uzbekistan; Turin Polytechnic University in Tashkent
Узбекистан


A. Saidov
Turin Polytechnic University in Tashkent
Узбекистан


Список литературы

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Рецензия

Для цитирования:


 ,  ,  ,   . Наносистемы: физика, химия, математика. 2015;6(2):192-197. https://doi.org/10.17586/2220-8054-2015-6-2-192-197

For citation:


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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ISSN 2220-8054 (Print)
ISSN 2305-7971 (Online)