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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2024, Volume 119, Issue 7, Pages 529–532
DOI: https://doi.org/10.31857/S1234567824070103 (Mi jetpl7196) 		 
METHODS OF THEORETICAL PHYSICS

On the twofold Moutard transformation of the stationary Schrãöinger equation with axial symmetry

A. G. Kudryavtsev

Institute of Applied Mechanics, Russian Academy of Sciences, Moscow, 125040 Russia
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DOI: https://doi.org/10.31857/S1234567824070103
Abstract: The generalized Moutard transformation of the stationary axially symmetric Schrödinger equation is considered. It is shown that a superposition of two Moutard transformations can provide new potentials for the eigenvalue problem. Examples of two-dimensional potentials and exact solutions for the stationary axially symmetric Schrödinger equation are obtained as an application of the twofold Moutard transformation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
This work was supported by ongoing institutional funding.
Received: 02.02.2024
Revised: 02.02.2024
Accepted: 28.02.2024
English version:
Journal of Experimental and Theoretical Physics Letters, 2024, Volume 119, Issue 7, Pages 534–537
DOI: https://doi.org/10.1134/S0021364024600290
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Kudryavtsev, “On the twofold Moutard transformation of the stationary Schrãöinger equation with axial symmetry”, Pis'ma v Zh. Èksper. Teoret. Fiz., 119:7 (2024), 529–532; JETP Letters, 119:7 (2024), 534–537
Citation in format AMSBIB
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\by A.~G.~Kudryavtsev
\paper On the twofold Moutard transformation of the stationary Schrã\"oinger equation with axial symmetry
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2024
\vol 119
\issue 7
\pages 529--532
\mathnet{http://mi.mathnet.ru/jetpl7196}
\crossref{https://doi.org/10.31857/S1234567824070103}
\edn{https://elibrary.ru/EUFBYY}
\transl
\jour JETP Letters
\yr 2024
\vol 119
\issue 7
\pages 534--537
\crossref{https://doi.org/10.1134/S0021364024600290}
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