Affine models of internal degrees of freedom and their action-angle description

被引：10

作者：

Golubowska, B ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Fundamental Technol Res, PL-00049 Warsaw, Poland

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2003年 / 51卷 / 2-3期

关键词：

action-angle description; affinely rigid body; metrically rigid body; Riemannian manifolds; torus;

D O I：

10.1016/S0034-4877(03)80014-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss equations of motion of small affinely-rigid bodies in the action-angle description. By "small" we mean a body of infinitesimal size moving in a Riemann space. Roughly speaking the extended body is replaced by the structured material point with internal degrees of freedom. We discuss some special cases of constant curvature two-dimensional spaces, like sphere and pseudosphere. Besides, motion on the torus manifold is discussed.

引用

页码：205 / 214

页数：10

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