Geodesic
Transparent vertex boundary conditions for quantum graphs: simplified approach
Nanosistemy: fizika, himiâ, matematika, Tome 10 (2019) no. 5, pp. 505-510

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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. 
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     author = {M. M. Aripov and K. K. Sabirov and J. R. Yusupov},
     title = {Transparent vertex boundary conditions for quantum graphs: simplified approach},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
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     publisher = {mathdoc},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2019_10_5_a0/}
}
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M. M. Aripov; K. K. Sabirov; J. R. Yusupov. Transparent vertex boundary conditions for quantum graphs: simplified approach. Nanosistemy: fizika, himiâ, matematika, Tome 10 (2019) no. 5, pp. 505-510. http://geodesic.mathdoc.fr/item/NANO_2019_10_5_a0/