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This article is cited in 4 scientific papers (total in 4 papers)
MATHEMATICS
Transparent vertex boundary conditions for quantum graphs: simplified approach
M. M. Aripova, K. K. Sabirovb, J. R. Yusupovc a National University of Uzbekistan, Vuzgorodok, Tashkent, Uzbekistan
b Tashkent University of Information Technologies, 108 Amir Temur Str., 100200, Tashkent, Uzbekistan
c Turin Polytechnic University in Tashkent, 17 Niyazov Str., 100095, Tashkent, Uzbekistan
Abstract:
We consider quantum graphs providing reflectionless wave transmission at the vertices. Imposing Kuska’s version of so-called absorbing boundary conditions we derive the constraints, which make usual continuity and Kirchhoff conditions equivalent to transparent boundary conditions.
Keywords:
quantum graph, transparent boundary conditions, ballistic transport, wave packet dynamics.
Received: 14.10.2019 Revised: 18.10.2019
Citation:
M. M. Aripov, K. K. Sabirov, J. R. Yusupov, “Transparent vertex boundary conditions for quantum graphs: simplified approach”, Nanosystems: Physics, Chemistry, Mathematics, 10:5 (2019), 505–510
Linking options:
https://www.mathnet.ru/eng/nano463 https://www.mathnet.ru/eng/nano/v10/i5/p505
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