| 阻尼谐振子的拉格朗日函数和哈密顿函数 |
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| 引用本文： | 丁光涛.阻尼谐振子的拉格朗日函数和哈密顿函数[J].大学物理,2009,28(3). |
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| 作者姓名： | 丁光涛 |
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| 作者单位： | 安徽师范大学,物理与电子信息学院,安徽,芜湖,241000 |
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| 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.
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| 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 |
The Lagrangian and Hamiltonian of damped harmonic oscillator |
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| DING Guang-tao.The Lagrangian and Hamiltonian of damped harmonic oscillator[J].College Physics,2009,28(3). |
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| Authors: | DING Guang-tao |
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| Institution: | The College of Physics and Electronic Information;Anhui Normal University;Wuhu 241000;China |
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| 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 Hamiltonians of DHO are constructed and the Noether conserved quantities for the DHO are obtained. |
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| Keywords: | damped harmonic oscillator inverse problem of Lagrange mechanics Lagrangian function Hamiltonian function Noether conserved quantity |
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