Conformal triality of the Kepler problem

被引：2

作者：

Cariglia, Marco ^{[1
]}

机构：

[1] Univ Fed Ouro Preto, ICEB, Dept Fis, Campus Morro do Cruzeiro, BR-35400000 Ouro Preto, MG, Brazil

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2016年 / 106卷

关键词：

Integrable Hamiltonian systems; Weyl geometry; Null lifts; Projective dynamics; HYDROGEN-ATOM; MOTION;

D O I：

10.1016/j.geomphys.2016.03.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the Kepler problem is projectively equivalent to null geodesic motion on the conformal compactification of Minkowski-4 space. This space realises the conformal triality of Minkowski, dS and AdS spaces. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：205 / 209

页数：5

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