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

О. В. КарповаNational University of Uzbekistan, Tashkent, UzbekistanK.K. SabirovTashkent University of Information Technologies, Tashkent, UzbekistanD. OtajanovTurin Polytechnic University in Tashkent, 17 Kichik Halka Yuli, Tashkent, 100095, UzbekistanAzizbek RuzmetovTurin Polytechnic University in Tashkent, 17 Kichik Halka Yuli, Tashkent, 100095, UzbekistanA. A. SaidovTurin Polytechnic University in Tashkent, 17 Kichik Halka Yuli, Tashkent, 100095, Uzbekistan
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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 Schrdinger 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.

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