The Green function for simplest quantum graphs
https://doi.org/10.17586/2220-8054-2015-6-6-762-766
Аннотация
We treat the problem of the Green function for quantum graphs by focusing on such topologies as star and tree graphs. The exact Green function for the Schr¨odinger equation on primary star graphs is derived in the form of 3 × 3− matrix using the vertex boundary conditions providing continuity and current conservation. Extension of the approach for the derivation for the Green function on tree graph is presented. Possible practical applications of the obtained results are discussed.
Об авторах
K. Sabirov
Physics Faculty, National University of Uzbekistan
Узбекистан
Узбекистан
U. Aminov
Urganch State University
Узбекистан
Узбекистан
Kh. Saparov
Urganch State University
Узбекистан
Узбекистан
M. Karimov
Urganch State University
Узбекистан
Узбекистан
Kh. Abdikarimov
Urganch State University
Узбекистан
Узбекистан
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Рецензия
Для цитирования:
, , , , . Наносистемы: физика, химия, математика. 2015;6(6):762-766. https://doi.org/10.17586/2220-8054-2015-6-6-762-766
For citation:
Sabirov K.K., Aminov U.A., Saparov Kh.Sh., Karimov M.K., Abdikarimov Kh. The Green function for simplest quantum graphs. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(6):762-766. https://doi.org/10.17586/2220-8054-2015-6-6-762-766
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