Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {A. S. Omuraliev},
     title = {Asymptotics of solutions to the time-dependent {Schr\"odinger} equation with a~small {Planck} constant},
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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/

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