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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2011, Volume 94, Issue 3, Pages 262–266 (Mi jetpl1986)  
This article is cited in 2 scientific papers (total in 2 papers)

METHODS OF THEORETICAL PHYSICS

On a two-dimensional Schrödinger equation with a magnetic field with an additional quadratic integral of motion

V. G. Marikhin

Landau Institute for Theoretical Physics, Russian Academy of Sciences
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Abstract: The problem of commuting quadratic quantum operators with a magnetic field has been considered. It has been shown that any such pair can be reduced to the canonical form, which makes it possible to construct an almost complete classification of the solutions of equations that are necessary and sufficient for a pair of operators to commute with each other. The transformation to the canonical form is performed through the change of variables to the Kovalevskaya-type variables; this change is similar to that in the theory of integrable tops. As an example, this procedure has been considered for the two-dimensional Schrödinger equation with the magnetic field; this equation has an additional quantum integral of motion.
Received: 14.06.2011
English version:
Journal of Experimental and Theoretical Physics Letters, 2011, Volume 94, Issue 3, Pages 243–247
DOI: https://doi.org/10.1134/S0021364011150069
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. G. Marikhin, “On a two-dimensional Schrödinger equation with a magnetic field with an additional quadratic integral of motion”, Pis'ma v Zh. Èksper. Teoret. Fiz., 94:3 (2011), 262–266; JETP Letters, 94:3 (2011), 243–247
Citation in format AMSBIB
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\paper On a two-dimensional Schrödinger equation with a magnetic field with an additional quadratic integral of motion
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\vol 94
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\jour JETP Letters
\yr 2011
\vol 94
\issue 3
\pages 243--247
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Ïèñüìà â Æóðíàë ýêñïåðèìåíòàëüíîé è òåîðåòè÷åñêîé ôèçèêè Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki
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