Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates

Recently we proposed a generic construction of the additional integrals of motion for the Stäckel systems applying addition theorems to the angle variables. In this note we show some trivial examples associated with angle variables for elliptic and parabolic coordinate systems on the plane.

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Datum:2012
1. Verfasser: Tsiganov, A.V.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2012
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/148470
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates / A.V. Tsiganov // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung:Recently we proposed a generic construction of the additional integrals of motion for the Stäckel systems applying addition theorems to the angle variables. In this note we show some trivial examples associated with angle variables for elliptic and parabolic coordinate systems on the plane.