|
The relativistic inverse scattering problem for quantum graphs
K. K. Sabirova, Z. A. Sobirova, O. V. Karpovaab, A. A. Saidovb a National University of Uzbekistan, 4 University St., 100074, Tashkent, Uzbekistan
b Turin Polytechnic University in Tashkent, 17 Niyazov St., 100095, Tashkent, Uzbekistan
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.
Ключевые слова:
quantum graph, inverse scattering problem, Dirac equation.
Поступила в редакцию: 02.02.2015
Образец цитирования:
K. K. Sabirov, Z. A. Sobirov, O. V. Karpova, A. A. Saidov, “The relativistic inverse scattering problem for quantum graphs”, Наносистемы: физика, химия, математика, 6:2 (2015), 192–197
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nano932 https://www.mathnet.ru/rus/nano/v6/i2/p192
|
Статистика просмотров: |
Страница аннотации: | 48 | PDF полного текста: | 23 |
|