Conformal Killing vector fields and a virial theorem

被引：14

作者：

Carinena, Jose F. ^{[1
]}

Gheorghiu, Irina ^{[1
]}

Martinez, Eduardo ^{[2
,3
]}

Santos, Patricia ^{[4
,5
]}

机构：

[1] Univ Zaragoza, Dept Theoret Phys, E-50009 Zaragoza, Spain

[2] Univ Zaragoza, IUMA, E-50009 Zaragoza, Spain

[3] Univ Zaragoza, Dept Appl Math, E-50009 Zaragoza, Spain

[4] Univ Coimbra, CMUC, P-3000 Coimbra, Portugal

[5] Polytech Inst Coimbra, ISEC, Coimbra, Portugal

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2014年 / 47卷 / 46期

关键词：

virial theorem; Hamiltonian systems; symplectic manifolds; canonical transformations; NONHOLONOMIC LAGRANGIAN SYSTEMS; GEOMETRY; TRANSFORMATIONS; SYMMETRIES; EQUATIONS; DYNAMICS;

D O I：

10.1088/1751-8113/47/46/465206

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The virial theorem is formulated both intrinsically and in local coordinates for a Lagrangian system of a mechanical type on a Riemann manifold. An important case studied in this paper is that of an affine virial function associated with a vector field on the configuration manifold. The special cases of a virial function associated with a Killing, a homothetic, and a conformal Killing vector field are considered and the corresponding virial theorems are established for these types of functions.

引用

页数：18

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