Transparent vertex boundary conditions for quantum graphs: Simplified approach
Мерсаид АриповNational University of Uzbekistan, Vuzgorodok, Tashkent, UzbekistanK.K. SabirovTashkent University of Information Technologies, 108 Amir Temur Str., 100200, Tashkent, UzbekistanJambul YusupovTurin Polytechnic University in Tashkent, 17 Niyazov Str., 100095, Tashkent, Uzbekistan
ABI
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.