Kepler方程的共形不变性、Mei对称性与守恒量

刘洪伟; 李玲飞; 杨士通

doi:10.7498/aps.61.200202

摘要

研究Kepler系统在无限小变换下的共形不变性、Mei对称性.给出该系统与总能量、角动量不同的新守恒量.并在广义坐标和广义速度构成的空间中讨论这些守恒量的独立性.

关键词:

In this paper, the conformal invariance and Mei symmetry of Kepler system under infinitesimal transformations are discussed in detail. The new conserved quantity of the system is given, which is different from the total energy and the angular momentum. The independences of these conserved quantities are discussed in the space which is composed of general ordinates and general speed.

Keywords:

作者及机构信息

1.
吉林大学数学研究所, 长春 130012;

2.
东北电力大学理学院, 吉林 132012

Authors and contacts

1.
Institute of Mathematics, Jilin University, Changchun 130012, China;

2.
School of Sciences, Northeast Dianli University, Jilin 132012, China

参考文献

[1]	Noether A E 1918 Nachr. Akad. Wiss. Gottingen: Math. Phys. 2 235
[2]	Hojman S A 1992 J. Phys. A: Math. Gen. 25 L291
[3]	Mei F X 2000 J. Beijing Inst. Technol. 9 120
[4]	Fang J H 2003 Commun. Theor. Phys. 40 269
[5]	Luo S K 2003 Acta Phys. Sin. 52 2941 (in Chinese) [罗绍凯 2003 物理学报 52 2941]
[6]	Gu S L, Zhang H B 2010 Acta Phys. Sin. 59 716 (in Chinese) [顾书龙, 张宏彬 2010 物理学报 59 716]
[7]	Gu S L, Zhang H B 2009 J. Chongqing Inst. Technol. (Natural Science) 23 39 (in Chinese) [顾书龙, 张宏彬 2009 重庆工学院学报(自然科学) 23 39]
[8]	Chen X W, Li Y M, Zhao Y H 2005 Phys. Lett. A 337 274
[9]	Cai J L, Mei F X 2008 Acta Phys. Sin. 57 5369 (in Chinese) [蔡建乐, 梅凤翔 2008 物理学报 57 5369]
[10]	Liu C, Mei F X, Guo Y X 2008 Acta Phys. Sin. 57 6704 (in Chinese) [刘畅, 梅凤翔, 郭永新 2008 物理学报 57 6704]
[11]	Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: Beijing Institute of Technology Press) (in Chinese) [梅凤翔 2004 约束力学系统的对称性与守恒量(北京:北京理工大学出版社)]
[12]	Jia L Q, Zhang Y Y, Yang X F, Cui J C, Xie Y L 2010 Acta Phys. Sin. 59 2939 (in Chinese) [贾利群, 张耀宇, 杨新芳, 崔金超, 解银丽 2010 物理学报 59 2939]
[13]	Mei F X 2002 Chin. Sci. Bull. 47 1544

施引文献

[1]	Noether A E 1918 Nachr. Akad. Wiss. Gottingen: Math. Phys. 2 235
[2]	Hojman S A 1992 J. Phys. A: Math. Gen. 25 L291
[3]	Mei F X 2000 J. Beijing Inst. Technol. 9 120
[4]	Fang J H 2003 Commun. Theor. Phys. 40 269
[5]	Luo S K 2003 Acta Phys. Sin. 52 2941 (in Chinese) [罗绍凯 2003 物理学报 52 2941]
[6]	Gu S L, Zhang H B 2010 Acta Phys. Sin. 59 716 (in Chinese) [顾书龙, 张宏彬 2010 物理学报 59 716]
[7]	Gu S L, Zhang H B 2009 J. Chongqing Inst. Technol. (Natural Science) 23 39 (in Chinese) [顾书龙, 张宏彬 2009 重庆工学院学报(自然科学) 23 39]
[8]	Chen X W, Li Y M, Zhao Y H 2005 Phys. Lett. A 337 274
[9]	Cai J L, Mei F X 2008 Acta Phys. Sin. 57 5369 (in Chinese) [蔡建乐, 梅凤翔 2008 物理学报 57 5369]
[10]	Liu C, Mei F X, Guo Y X 2008 Acta Phys. Sin. 57 6704 (in Chinese) [刘畅, 梅凤翔, 郭永新 2008 物理学报 57 6704]
[11]	Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: Beijing Institute of Technology Press) (in Chinese) [梅凤翔 2004 约束力学系统的对称性与守恒量(北京:北京理工大学出版社)]
[12]	Jia L Q, Zhang Y Y, Yang X F, Cui J C, Xie Y L 2010 Acta Phys. Sin. 59 2939 (in Chinese) [贾利群, 张耀宇, 杨新芳, 崔金超, 解银丽 2010 物理学报 59 2939]
[13]	Mei F X 2002 Chin. Sci. Bull. 47 1544

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Kepler方程的共形不变性、Mei对称性与守恒量

Conformal invariance, Mei symmetry and the conserved quantity of the Kepler equation

摘要

Abstract

作者及机构信息

1.
吉林大学数学研究所, 长春 130012;

2.
东北电力大学理学院, 吉林 132012

Authors and contacts

1.
Institute of Mathematics, Jilin University, Changchun 130012, China;

2.
School of Sciences, Northeast Dianli University, Jilin 132012, China

参考文献

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留言板

Kepler方程的共形不变性、Mei对称性与守恒量

Conformal invariance, Mei symmetry and the conserved quantity of the Kepler equation

摘要

Abstract

作者及机构信息

1. 吉林大学数学研究所, 长春 130012; 2. 东北电力大学理学院, 吉林 132012

Authors and contacts

1. Institute of Mathematics, Jilin University, Changchun 130012, China; 2. School of Sciences, Northeast Dianli University, Jilin 132012, China

参考文献

施引文献

目录

计量

出版历程

作者中心

审稿中心

关于期刊

关于我们

1.
吉林大学数学研究所, 长春 130012;

2.
东北电力大学理学院, 吉林 132012

1.
Institute of Mathematics, Jilin University, Changchun 130012, China;

2.
School of Sciences, Northeast Dianli University, Jilin 132012, China