Action-angle variables and novel superintegrable systems

T. Hakobyan; O. Lechtenfeld; A. Nersessian; A. Saghatelian; V. Yeghikyan

doi:10.1134/S1063779612050152

Action-angle variables and novel superintegrable systems

T. Hakobyan
, O. Lechtenfeld
, A. Nersessian^*
, A. Saghatelian
, V. Yeghikyan

^*Corresponding author for this work

Research output: Contribution to journal › Article › Research › peer review

Abstract

In this paper we demonstrate the effectiveness of the action-angle variables in the study of superintegrable systems. As an example, we construct the spherical and pseu-dospherical generalizations of the two-dimensional superintegrable models introduced by Tremblay, Turbiner and Winternitz and by Post and Winternitz.

Original language	English
Pages (from-to)	577-582
Number of pages	6
Journal	Physics of particles and nuclei
Volume	43
Issue number	5
DOIs	https://doi.org/10.1134/S1063779612050152
Publication status	Published - Sept 2012

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1134/S1063779612050152

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title = "Action-angle variables and novel superintegrable systems",

abstract = "In this paper we demonstrate the effectiveness of the action-angle variables in the study of superintegrable systems. As an example, we construct the spherical and pseu-dospherical generalizations of the two-dimensional superintegrable models introduced by Tremblay, Turbiner and Winternitz and by Post and Winternitz.",

author = "T. Hakobyan and O. Lechtenfeld and A. Nersessian and A. Saghatelian and V. Yeghikyan",

note = "Funding Information: 1The work was partially supported by the Volkswagen Foundation grant I/84 496, by the grant PS2908 of Armenian Science and Edu cation foundation based in New York and by the grants 11 1c258 and 11AB 001 of the Armenian State Committee of Science. 2 The article is published in the original. Copyright: Copyright 2012 Elsevier B.V., All rights reserved.",

year = "2012",

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doi = "10.1134/S1063779612050152",

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AU - Hakobyan, T.

AU - Lechtenfeld, O.

AU - Nersessian, A.

AU - Saghatelian, A.

AU - Yeghikyan, V.

N1 - Funding Information: 1The work was partially supported by the Volkswagen Foundation grant I/84 496, by the grant PS2908 of Armenian Science and Edu cation foundation based in New York and by the grants 11 1c258 and 11AB 001 of the Armenian State Committee of Science. 2 The article is published in the original. Copyright: Copyright 2012 Elsevier B.V., All rights reserved.

PY - 2012/9

Y1 - 2012/9

N2 - In this paper we demonstrate the effectiveness of the action-angle variables in the study of superintegrable systems. As an example, we construct the spherical and pseu-dospherical generalizations of the two-dimensional superintegrable models introduced by Tremblay, Turbiner and Winternitz and by Post and Winternitz.

AB - In this paper we demonstrate the effectiveness of the action-angle variables in the study of superintegrable systems. As an example, we construct the spherical and pseu-dospherical generalizations of the two-dimensional superintegrable models introduced by Tremblay, Turbiner and Winternitz and by Post and Winternitz.

UR - https://www.scopus.com/pages/publications/84866464177

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DO - 10.1134/S1063779612050152

M3 - Article

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SN - 1063-7796

VL - 43

SP - 577

EP - 582

JO - Physics of particles and nuclei

JF - Physics of particles and nuclei

IS - 5

ER -

Action-angle variables and novel superintegrable systems

Abstract

ASJC Scopus subject areas

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