Geodesic
Absorbing boundary conditions for Schr\"odinger equation in a time-dependent interval
Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 1, pp. 13-19

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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. 
@article{NANO_2017_8_1_a1,
     author = {O. Karpova and K. Sabirov and D. Otajanov and A. Ruzmetov and A. Saidov},
     title = {Absorbing boundary conditions for {Schr\"odinger} equation in a time-dependent interval},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {13--19},
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2017_8_1_a1/}
}
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O. Karpova; K. Sabirov; D. Otajanov; A. Ruzmetov; A. Saidov. Absorbing boundary conditions for Schr\"odinger equation in a time-dependent interval. Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 1, pp. 13-19. http://geodesic.mathdoc.fr/item/NANO_2017_8_1_a1/