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磁场中带电粒子阻尼运动的分析力学表示

丁光涛

物理学报2012,Vol.61Issue(2):17-22,6.
物理学报2012,Vol.61Issue(2):17-22,6.

磁场中带电粒子阻尼运动的分析力学表示

Analytical mechanics representations of a moving charged particle in a magnetic field with radiation friction

丁光涛1

作者信息

  • 1. 安徽师范大学物理与电子信息学院,芜湖241000
  • 折叠

摘要

Abstract

The anatylical mechanics representations of a charged particle moving in a uniform magnetic field with radiation friction are studied.First,by solving the inverse problem of Birkhoffian mechanics for the differential equations of motion the 4 Birkhoffian representations of the charged particle are obtained.Secondly,4 Lagrangian representations in the state space and 4 Lagrangian representations in the configuration space are derived,and then 4 Hamiltomans are constructed.Lastly,4 first integrals are obtained from the analytical mechanics representations of the moving particle,and the solutions of the equations of motion are presented.

关键词

约化的Lorentz-Dirac方程/分析力学表示/逆问题

Key words

reduced Lorentz-Dirac equation/analytical mechanics representation/inverse problem

分类

数理科学

引用本文复制引用

丁光涛..磁场中带电粒子阻尼运动的分析力学表示[J].物理学报,2012,61(2):17-22,6.

物理学报

OA北大核心CSCDCSTPCDSCI

1000-3290

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