Center of Mass Theorem and the Separation of Variables for Two-Body System on a Three-Dimensional Sphere

被引：0

作者：

Kurochkin, Yu ^{[1
]}

Shoukavy, Dz ^{[1
]}

Boyarina, I ^{[2
]}

机构：

[1] Natl Acad Sci Belarus, Inst Phys, 68-2 Nezalezhnasci Ave, Minsk 220072, BELARUS

[2] Belarusian State Agr Tech Univ, 99 Nezalezhnasci Ave, Minsk 220023, BELARUS

来源：

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS | 2020年 / 23卷 / 03期

关键词：

two particle problem; biquaternion; spaces of constant curvature;

D O I：

10.33581/1561-4085-2020-23-3-306-311

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The immobility of the center of mass in spaces of constant curvature is postulated based on its definition obtained in [1]. The system of two particles which interact through a potential depending only on the distance between particles on a three-dimensional sphere is considered. The Hamilton-Jacobi equation is formulated and its solutions and trajectory equations are found. It was established that the reduced mass of the system depends on the relative distance.

引用

页码：306 / 311

页数：6

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