najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2017-8-1-13-19najo-715Research ArticleMATHEMATICSМАТЕМАТИКАAbsorbing boundary conditions for Schrӧdinger equation in a time-dependent intervalKarpovaO.

17 Kichik Halka Yuli, Tashkent, 100095

National University of Uzbekistan

Tashkent

ola_july@mail.ruSabirovK.

17 Kichik Halka Yuli, Tashkent, 100095

Tashkent

OtajanovD.

17 Kichik Halka Yuli, Tashkent, 100095

RuzmetovA.

17 Kichik Halka Yuli, Tashkent, 100095

SaidovA. A.

17 Kichik Halka Yuli, Tashkent, 100095

Turin Polytechnic University in Tashkent; National University of UzbekistanUzbekistanTurin Polytechnic University in Tashkent; Tashkent University of Information TechnologiesUzbekistanTurin Polytechnic University in TashkentRussian Federation201713082025811319Copyright © Karpova O., Sabirov K., Otajanov D., Ruzmetov A., Saidov A.A., 20252025Karpova O., Sabirov K., Otajanov D., Ruzmetov A., Saidov A.A.Karpova O., Sabirov K., Otajanov D., Ruzmetov A., Saidov A.A.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/715

We consider the reflection-transmission of the Gaussian wave packet through the moving wall with absorbing boundary conditions based on the time dependent one-dimensional Schrӧdinger equation. The reflection coefficient is calculated for the case when the walls are fixed, and probability density is calculated for the case when the wall is moving linearly.

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