najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2019-10-5-505-510najo-582Research ArticleMATHEMATICSМАТЕМАТИКАTransparent vertex boundary conditions for quantum graphs: Simplified approachAripovM. M.

Vuzgorodok, Tashkent

SabirovK. K.

108 Amir Temur Str., 100200, Tashkent

YusupovJ. R.

17 Niyazov Str., 100095, Tashkent

jambul.yusupov@gmail.comNational University of UzbekistanUzbekistanTashkent University of Information TechnologiesUzbekistanTurin Polytechnic University in TashkentUzbekistan201923082025105505510Copyright © Aripov M.M., Sabirov K.K., Yusupov J.R., 20252025Aripov M.M., Sabirov K.K., Yusupov J.R.Aripov M.M., Sabirov K.K., Yusupov J.R.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/582

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.

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The authors declare that there are no conflicts of interest present.