Yu. A. Grishechkin, A. V. Paulenko, “Approximate analytical method for solving the schrödinger equation with the Gaussian potential in the momentum representation”, PFMT, 2020, no. 3(44), 18

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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2020, Issue 3(44), Pages 18–21 (Mi pfmt722)

PHYSICS

Approximate analytical method for solving the schrödinger equation with the Gaussian potential in the momentum representation

Yu. A. Grishechkin, A. V. Paulenko

F. Scorina Gomel State University

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Abstract: The approximate analytical method is proposed for solving the Schrödinger equation with the Gaussian potential in the momentum representation. The idea of the method is to represent the desired wave function in the form of a superposition of wave functions of the three-dimensional harmonic oscillator in the momentum representation. Solutions are found in the case of coupled states.

Keywords: Schrödinger equation, wave function, Gaussian potential, harmonic oscillator, coupled states.

Received: 04.06.2020

Document Type: Article

UDC: 539.12.01

Language: Russian

Citation: Yu. A. Grishechkin, A. V. Paulenko, “Approximate analytical method for solving the schrödinger equation with the Gaussian potential in the momentum representation”, PFMT, 2020, no. 3(44), 18–21

Citation in format AMSBIB

\Bibitem{GriPav20}

\by Yu.~A.~Grishechkin, A.~V.~Paulenko

\paper Approximate analytical method for solving the schrödinger equation with the Gaussian potential in the momentum representation

\jour PFMT

\yr 2020

\issue 3(44)

\pages 18--21

\mathnet{http://mi.mathnet.ru/pfmt722}

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https://www.mathnet.ru/eng/pfmt/y2020/i3/p18

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	111
Full-text PDF :	119
References:	18

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