大学物理 ›› 2009, Vol. 28 ›› Issue (3): 13-13.

• 著者文摘 • 上一篇    下一篇

阻尼谐振子的拉格朗日函数和哈密顿函数

丁光涛   

  1. 安徽师范大学物理与电子信息学院,安徽芜湖241000
  • 出版日期:2009-03-25 发布日期:2009-03-20

The Lagrangian and Hamiltonian of damped harmonic oscillator

  • Online:2009-03-25 Published:2009-03-20

摘要: 利用一种直接方法将阻尼谐振动微分方程变换成等价的自伴随形式,并构造出阻尼振子的两个拉格朗日函数和哈密顿函数,导出了阻尼谐振子的Noether守恒量.

关键词: 阻尼谐振子, 拉格朗日力学逆问题, 拉格朗日函数, 哈密顿函数, Noether守恒量

Abstract: The differential equation of damped harmonic oscillator (DHO) is transformed into an equivalent self-adjoint form by using a direct method. Two Lagrangians and Hamihonians of DHO are constructed and the Noether conserved quantities for the DHO are obtained.

Key words: damped harmonic oscillator, inverse problem of Lagrange mechanics, Lagrangian function, Hamihonian function, Noether conserved quantity

中图分类号: 

  • O316