Lagrangian function and conserved quantity of one-dimensional relativistic harmonic oscillator containing a quadratic velocity drag force term
含速率平方阻力项的一维相对论谐振子的Lagrange函数与守恒量

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.