A maximally superintegrable system on an n-dimensional space of nonconstant curvature

被引：44

作者：

Ballesteros, A. ^{[3
]}

Enciso, A. ^{[4
]}

Herranz, F. J. ^{[3
]}

Ragnisco, O. ^{[1
,2
]}

机构：

[1] Univ Roma 3, Dipartimento Fis, Via Vasca Navale 84, I-00146 Rome, Italy

[2] Inst Nazl Fis Nucl, I-00146 Rome, Italy

[3] Inst Nazl Fis Nucl, Dept Fis, I-00146 Rome, Italy

[4] Univ Complutense, Dept Fis Teor 1, E-28040 Madrid, Spain

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2008年 / 237卷 / 04期

关键词：

superintegrable systems; variable curvature; coalgebra symmetry;

D O I：

10.1016/j.physd.2007.09.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a novel Hamiltonian system in n dimensions which admits the maximal number 2n - 1 of functionally independent, quadratic first integrals. This system turns out to be the first example of a maximally superintegrable Hamiltonian on an n-dimensional Riemannian space of nonconstant curvature, and it can be interpreted as the intrinsic Smorodinsky-Winternitz system on such a space. Moreover, we provide three different complete sets of integrals in involution and solve the equations of motion in closed form. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：505 / 509

页数：5

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