O. Karpova, K. Sabirov, D. Otajanov, A. Ruzmetov, A. Saidov, “Absorbing boundary conditions for Schrödinger equation in a time-dependent interval”, Nanosystems: Physics, Chemistry, Mathematics, 2017, Volume 8, Issue 1,Pages <nobr>13

MATHEMATICS

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

O. Karpova^ab, K. Sabirov^ac, D. Otajanov^a, A. Ruzmetov^a, A. Saidov^a

^a Turin Polytechnic University in Tashkent, 17 Kichik Halka Yuli, Tashkent, 100095, Uzbekistan
^b National University of Uzbekistan, Tashkent, Uzbekistan
^c Tashkent University of Information Technologies, Tashkent, Uzbekistan

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 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

Received: 10.08.2016
Revised: 05.09.2016

Language: English

DOI: 10.17586/2220-8054-2017-8-1-13-19