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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

Abstract

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.

About the Authors

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

17 Kichik Halka Yuli, Tashkent, 100095

National University of Uzbekistan

Tashkent



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

17 Kichik Halka Yuli, Tashkent, 100095

Tashkent



D. Otajanov
Turin Polytechnic University in Tashkent
Russian Federation

17 Kichik Halka Yuli, Tashkent, 100095



A. Ruzmetov
Turin Polytechnic University in Tashkent
Russian Federation

17 Kichik Halka Yuli, Tashkent, 100095



A. A. Saidov
Turin Polytechnic University in Tashkent
Russian Federation

17 Kichik Halka Yuli, Tashkent, 100095



Review

For citations:


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)