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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

Nanosystems Physics Chemistry Mathematicsjournal2019en

ABI

Annotatsiya

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.

Mavzular

Quantum and electron transport phenomena Cold Atom Physics and Bose-Einstein Condensates Quantum Computing Algorithms and Architecture

Identifikatorlar

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

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