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

Lou Zhi-Mei

doi:10.7498/aps.54.1457

Abstract
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.

Keywords:
relativistic harmonic oscillator /

Lagrangian function /

conserved quantity
Authors and contacts
Lou Zhi-Mei

1.
绍兴文理学院物理系,绍兴 312000
References

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Vol. 54, Issue 4 - 2005-02-20

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

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

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