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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2012 |
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| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2012
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| Online Zugang: | https://nasplib.isofts.kiev.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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Tsiganov, A.V. 2019-02-18T13:28:50Z 2019-02-18T13:28:50Z 2012 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. 1815-0659 2010 Mathematics Subject Classification: 37J35; 70H06 DOI: http://dx.doi.org/10.3842/SIGMA.2012.031 https://nasplib.isofts.kiev.ua/handle/123456789/148470 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates |
| spellingShingle |
Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates Tsiganov, A.V. |
| title_short |
Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates |
| title_full |
Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates |
| title_fullStr |
Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates |
| title_full_unstemmed |
Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates |
| title_sort |
superintegrable stäckel systems on the plane: elliptic and parabolic coordinates |
| author |
Tsiganov, A.V. |
| author_facet |
Tsiganov, A.V. |
| publishDate |
2012 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/148470 |
| citation_txt |
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. |
| work_keys_str_mv |
AT tsiganovav superintegrablestackelsystemsontheplaneellipticandparaboliccoordinates |
| first_indexed |
2025-12-07T19:16:49Z |
| last_indexed |
2025-12-07T19:16:49Z |
| _version_ |
1850878207617662976 |