Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates

Інший ID: 2010 Mathematics Subject Classification: 37J35; 70H06
DOI: http://dx.doi.org/10.3842/SIGMA.2012.031

URI: http://dspace.nbuv.gov.ua/handle/123456789/148470

Посилання: 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.

Підтримка: This paper is a contribution to the Special Issue “Superintegrability, Exact Solvability, and Special Functions”. The full collection is available at http://www.emis.de/journals/SIGMA/SESSF2012.html. We are greatly indebted referees for several improvements and corrections induced by their comments.

Дата: 2012

Завантажень: 206

Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates

Анотація:

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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