Superintegrable Extensions of Superintegrable Systems

A procedure to extend a superintegrable system into a new superintegrable one is systematically tested for the known systems on E2 and S2 and for a family of systems defined on constant curvature manifolds. The procedure results effective in many cases including Tremblay-Turbiner-Winternitz and thre...

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Veröffentlicht in:	Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2012-01, Vol.8, p.070
1. Verfasser:	Chanu, Claudia M.
Format:	Artikel
Sprache:	eng
Schlagworte:	polynomial first integrals superintegrable Hamiltonian systems
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	A procedure to extend a superintegrable system into a new superintegrable one is systematically tested for the known systems on E2 and S2 and for a family of systems defined on constant curvature manifolds. The procedure results effective in many cases including Tremblay-Turbiner-Winternitz and three-particle Calogero systems. [ProQuest: [...] denotes formulae omitted.]
ISSN:	1815-0659 1815-0659
DOI:	10.3842/SIGMA.2012.070