NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2019, 10 (5), P. 505–510
Transparent vertex boundary conditions for quantum graphs: Simplified approach
M. M. Aripov – National University of Uzbekistan, Vuzgorodok, Tashkent, Uzbekistan
K. K. Sabirov – Tashkent University of Information Technologies, 108 Amir Temur Str., 100200, Tashkent, Uzbekistan
J. R. Yusupov – Turin Polytechnic University in Tashkent, 17 Niyazov Str., 100095, Tashkent, Uzbekistan; jambul.yusupov@gmail.com
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.
PACS 03.65.Aa, 02.60.Cb, 05.60.Gg
DOI 10.17586/2220-8054-2019-10-5-505-510
