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. KarpovaUzbekistan
17 Kichik Halka Yuli, Tashkent, 100095
National University of Uzbekistan
Tashkent
K. Sabirov
Uzbekistan
17 Kichik Halka Yuli, Tashkent, 100095
Tashkent
D. Otajanov
Russian Federation
17 Kichik Halka Yuli, Tashkent, 100095
A. Ruzmetov
Russian Federation
17 Kichik Halka Yuli, Tashkent, 100095
A. A. Saidov
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