Lagrangian function and conserved quantity of one-dimensional relativistic harmonic oscillator containing a quadratic velocity drag force term

被引：2

作者：

Lou, ZM ^{[1
]}

机构：

[1] Shaoxing Coll Arts & Sci, Dept Phys, Shaoxing 312000, Peoples R China

来源：

ACTA PHYSICA SINICA | 2005年 / 54卷 / 04期

关键词：

relativistic harmonic oscillator; Lagrangian function; conserved quantity;

D O I：

10.7498/aps.54.1457

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the differential kinematic equation of one-dimensional relativistic harmonic oscillator containing a quadratic velocity drag force term is obtained by using Taylor series expansion. The expressions of Lagrangian function and conserved quantity are obtained based on the differential kinematic equation and the characteristic of the conserved quantity.

引用

页码：1457 / 1459

页数：3

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