Form invariance and conserved quantities of Nielsen equations of relativistic variable mass nonholonomic systems

doi:10.1088/1009-1963/13/3/005

中国物理B ›› 2004, Vol. 13 ›› Issue (3): 292-296.doi: 10.1088/1009-1963/13/3/005

Form invariance and conserved quantities of Nielsen equations of relativistic variable mass nonholonomic systems

乔永芬, 赵淑红, 李仁杰

Engineering College of Northeast Agricultural University, Harbin 150030, China

收稿日期:2002-09-29 修回日期:2003-08-04 出版日期:2005-07-06 发布日期:2005-07-06

Form invariance and conserved quantities of Nielsen equations of relativistic variable mass nonholonomic systems

Qiao Yong-Fen (乔永芬), Zhao Shu-Hong (赵淑红), Li Ren-Jie (李仁杰)

Engineering College of Northeast Agricultural University, Harbin 150030, China

Received:2002-09-29 Revised:2003-08-04 Online:2005-07-06 Published:2005-07-06

摘要/Abstract

摘要： In this paper, the definition and criterion of the form invariance of Nielsen equations for relativistic variable mass nonholonomic systems are given. The relation between the form invariance and the Noether symmetry is studied. Finally, we give an example to illustrate the application of the result.

Abstract: In this paper, the definition and criterion of the form invariance of Nielsen equations for relativistic variable mass nonholonomic systems are given. The relation between the form invariance and the Noether symmetry is studied. Finally, we give an example to illustrate the application of the result.

Key words: nonholonomic system, relativity, variable mass, Nielsen equation, form invariance, Noether symmetry

中图分类号: (Special relativity)

03.30.+p

乔永芬, 赵淑红, 李仁杰. Form invariance and conserved quantities of Nielsen equations of relativistic variable mass nonholonomic systems[J]. 中国物理B, 2004, 13(3): 292-296.

Qiao Yong-Fen (乔永芬), Zhao Shu-Hong (赵淑红), Li Ren-Jie (李仁杰). Form invariance and conserved quantities of Nielsen equations of relativistic variable mass nonholonomic systems[J]. Chinese Physics, 2004, 13(3): 292-296.

[1]	董国慧, 马宇翰, 陈劲夫, 王欣, 孙昌璞. Decoherence of macroscopic objects from relativistic effect[J]. 中国物理B, 2018, 27(10): 100301-100301.
[2]	王建武, 冯正和. Time-domain nature of group delay[J]. 中国物理B, 2015, 24(10): 100301-100301.
[3]	吴奇成, 文晶姬, 计新, Yeon Kyu-Hwang. Teleportation of three-dimensional single particle state in noninertial frames[J]. 中国物理B, 2014, 23(2): 20303-020303.
[4]	张启仁 . Relativity and impossibility of superluminal motion[J]. 中国物理B, 2012, 21(11): 110301-110301.
[5]	杨大宝, 李艳, 张福林, 陈景灵 . Demonstrating additional law of relativistic velocities based on squeezed light[J]. 中国物理B, 2012, 21(7): 74201-074201.
[6]	鲁重贤. Remarks on interpretations of the E?tv?s experiment and misinterpretation of E=mc²[J]. 中国物理B, 2007, 16(3): 635-639.
[7]	王智勇, 熊彩东. On the generator of Lorentz boost[J]. 中国物理B, 2006, 15(10): 2223-2227.
[8]	方建会, 赵嵩卿. Noether's theorem of a rotational relativistic variable mass system[J]. 中国物理B, 2002, 11(5): 445-449.
[9]	乔永芬, 孟军, 赵淑红. Existential theorem of conserved quantities and its inverse for the dynamics of nonholonomic relativistic systems[J]. 中国物理B, 2002, 11(9): 859-863.
[10]	罗绍凯, 蔡建乐, 贾利群. A new non-Noether conserved quantity of the relativistic holonomic nonconservative systems in general Lie transformations[J]. 中国物理B, 2005, 14(4): 656-659.
[11]	强稳朝. The calculating formula for radial matrix elements of a relativistic harmonic oscillator[J]. 中国物理B, 2003, 12(8): 831-835.
[12]	罗绍凯. Cyclic integrals and reduction of rotational relativistic Birkhoffian system[J]. 中国物理B, 2003, 12(2): 140-143.
[13]	马善钧, 刘明萍, 黄沛天. The forms of three-order Lagrangian equation in relative motion[J]. 中国物理B, 2005, 14(2): 244-246.
[14]	罗绍凯, 贾利群, 蔡建乐. A set of Lie symmetrical non-Noether conserved quantity for the relativistic Hamiltonian systems[J]. 中国物理B, 2003, 12(8): 841-845.
[15]	傅景礼, 陈立群, 骆毅, 罗绍凯. Stability for the equilibrium state manifold of relativistic Birkhoffian systems[J]. 中国物理B, 2003, 12(4): 351-356.

Form invariance and conserved quantities of Nielsen equations of relativistic variable mass nonholonomic systems

Form invariance and conserved quantities of Nielsen equations of relativistic variable mass nonholonomic systems

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0