NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2017, 8 (1), P. 13–19
Absorbing boundary conditions for Schrödinger equation in a time-dependent interval
O. Karpova – Turin Polytechnic University in Tashkent, 17 Kichik Halka Yuli; National University of Uzbekistan, Tashkent, Uzbekistan; ola_july@mail.ru
K. Sabirov – Turin Polytechnic University in Tashkent, 17 Kichik Halka Yuli; Tashkent University of Information Technologies, Tashkent, Uzbekistan
D. Otajanov – Turin Polytechnic University in Tashkent, 17 Kichik Halka Yuli, Tashkent, 100095, Uzbekistan
A. Ruzmetov – Turin Polytechnic University in Tashkent, 17 Kichik Halka Yuli, Tashkent, 100095, Uzbekistan
A. A. Saidov – Turin Polytechnic University in Tashkent, 17 Kichik Halka Yuli, Tashkent, 100095, Uzbekistan
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 Schrödinger 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.
Keywords: absorbing boundary conditions, Gaussian wave packet, one-dimensional Schrödinger equation.
PACS 02.60.Lj; 02.70.Bf
DOI 10.17586/2220-8054-2017-8-1-13-19
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