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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 10, Pages 1746–1751 (Mi zvmmf234)  
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotics of solutions to the time-dependent Schrödinger equation with a small Planck constant

A. S. Omuraliev

Kyrgyz-Turkish Manas University, pr. Mira 56, Bishkek, 720044, Kyrgyzstan
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Abstract: 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.
Key words: singularly perturbed time-dependent Schrödinger equation, regularized asymptotics, solutions.
Received: 20.12.2006
Revised: 14.03.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 10, Pages 1675–1680
DOI: https://doi.org/10.1134/S0965542507100089
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. S. Omuraliev, “Asymptotics of solutions to the time-dependent Schrödinger equation with a small Planck constant”, Zh. Vychisl. Mat. Mat. Fiz., 47:10 (2007), 1746–1751; Comput. Math. Math. Phys., 47:10 (2007), 1675–1680
Citation in format AMSBIB
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\by A.~S.~Omuraliev
\paper Asymptotics of solutions to the time-dependent Schr\"odinger equation with a~small Planck constant
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 10
\pages 1746--1751
\mathnet{http://mi.mathnet.ru/zvmmf234}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2388624}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 10
\pages 1675--1680
\crossref{https://doi.org/10.1134/S0965542507100089}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-35648996571}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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