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Наносистемы: физика, химия, математика

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Absorbing boundary conditions for Schrӧdinger equation in a time-dependent interval

https://doi.org/10.17586/2220-8054-2017-8-1-13-19

Аннотация

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.

Об авторах

O. Karpova
Turin Polytechnic University in Tashkent; National University of Uzbekistan
Uzbekistan


K. Sabirov
Turin Polytechnic University in Tashkent; Tashkent University of Information Technologies
Uzbekistan


D. Otajanov
Turin Polytechnic University in Tashkent
Russian Federation


A. Ruzmetov
Turin Polytechnic University in Tashkent
Russian Federation


A. Saidov
Turin Polytechnic University in Tashkent
Russian Federation


Рецензия

Для цитирования:


 ,  ,  ,  ,   . Наносистемы: физика, химия, математика. 2017;8(1):13-19. https://doi.org/10.17586/2220-8054-2017-8-1-13-19

For citation:


Karpova O., Sabirov K., Otajanov D., Ruzmetov A., Saidov A.A. Absorbing boundary conditions for Schrӧdinger equation in a time-dependent interval. Nanosystems: Physics, Chemistry, Mathematics. 2017;8(1):13-19. https://doi.org/10.17586/2220-8054-2017-8-1-13-19

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ISSN 2220-8054 (Print)
ISSN 2305-7971 (Online)