Reduction and unfolding: The Kepler problem

被引：10

作者：

D'Avanzo, A

Marmo, G

机构：

[1] Univ Naples Federico II, Dipartimento Sci Fis, I-80126 Naples, Italy

[2] Ist Nazl Fis Nucl, Sezione Napoli, I-80126 Naples, Italy

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2005年 / 2卷 / 01期

关键词：

reduction; Kepler problem; Lagrangian formalism;

D O I：

10.1142/S0219887805000466

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we show, in a systematic way, how to relate the Kepler problem to the isotropic harmonic oscillator. Unlike previous approaches, our constructions are carried over in the Lagrangian formalism dealing, with second order vector fields. We therefore provide a tangent bundle version of the Kustaanheimo-Stiefel map.

引用

页码：83 / 109

页数：27