Superintegrable Extensions of Superintegrable Systems

被引：11
作者：
Chanu, Claudia M. [1 ]
Degiovanni, Luca [1 ]
Rastelli, Giovanni
机构：
[1] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2012年 / 8卷
关键词：
superintegrable Hamiltonian systems; polynomial first integrals;
D O I：
10.3842/SIGMA.2012.070
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A procedure to extend a superintegrable system into a new superintegrable one is systematically tested for the known systems on E-2 and S-2 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.
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页数：12
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