On higher-dimensional superintegrable systems: a new family of classical and quantum Hamiltonian models

被引：4
作者：
Rodriguez, Miguel A. [1 ]
Tempesta, Piergiulio [1 ,2 ]
机构：
[1] Univ Complutense Madrid, Fac Ciencias Fis, Dept Fis Teor, Plaza Ciencias 1, E-28040 Madrid, Spain
[2] Inst Ciencias Matemat, C Nicolas Cabrera 13-15, Madrid 28049, Spain
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2022年 / 55卷 / 50期
关键词：
Hamiltonian systems; superintegrable models; Liouville integrability; EXACT SOLVABILITY; SYMMETRIES;
D O I：
10.1088/1751-8121/acaada
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We introduce a family of n-dimensional Hamiltonian systems which, contain, as special reductions, several superintegrable systems as the Tremblay-Turbiner-Winternitz system, a generalized Kepler potential and the anisotropic harmonic oscillator with Rosochatius terms. We conjecture that there exist special values in the space of parameters, apart from those leading to known cases, for which this new Hamiltonian family is superintegrable.
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页数：9
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