Asymptotics of solutions to the time-dependent Schrödinger equation with a small Planck constant
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 10, pp. 1746-1751
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A regularized asymptotics of the solution to the time-dependent Schrödinger equation in which the spatial derivative is multiplied by a small Planck constant is constructed. It is shown that the asymptotics of the solution contains a rapidly oscillating boundary layer function.
@article{ZVMMF_2007_47_10_a7,
author = {A. S. Omuraliev},
title = {Asymptotics of solutions to the time-dependent {Schr\"odinger} equation with a~small {Planck} constant},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1746--1751},
publisher = {mathdoc},
volume = {47},
number = {10},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_10_a7/}
}
TY - JOUR AU - A. S. Omuraliev TI - Asymptotics of solutions to the time-dependent Schrödinger equation with a small Planck constant JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2007 SP - 1746 EP - 1751 VL - 47 IS - 10 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_10_a7/ LA - ru ID - ZVMMF_2007_47_10_a7 ER -
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A. S. Omuraliev. Asymptotics of solutions to the time-dependent Schrödinger equation with a small Planck constant. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 10, pp. 1746-1751. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_10_a7/