M. M. Aripov, K. K. Sabirov, J. R. Yusupov, “Transparent vertex boundary conditions for quantum graphs: simplified approach”, Nanosystems: Physics, Chemistry, Mathematics, 2019, Volume 10, Issue 5,Pages <nobr>505

This article is cited in 4 papers

MATHEMATICS

Transparent vertex boundary conditions for quantum graphs: simplified approach

M. M. Aripov^a, K. K. Sabirov^b, J. R. Yusupov^c

^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.

PACS: 03.65.Aa, 02.60.Cb, 05.60.Gg

Received: 14.10.2019
Revised: 18.10.2019

Language: English

DOI: 10.17586/2220-8054-2019-10-5-505-510