Relativistic Harmonic Oscillator

[Petar Mali]

Homework Statement

How does change acceleration of relativistic linear harmonic oscillator with distance of equilibrium point in laboratory reference system?

Homework Equations

The Attempt at a Solution

$$x=x_0sin(\omega t+\varphi)$$

$$\upsilon=\omega x_0cos(\omega t+\varphi)$$

$$a=-\omega^2 x_0sin(\omega t+\varphi)$$

What now?

Just hint or help I need. Thanks!

 

[Petar Mali]

Any idea?

 

[novop]

Not at all. What's your question?

 

[Petar Mali]

Idea of solving this problem?

Do i need to use Lorentz transformation

$$x'=\frac{x-ut}{\sqrt{1-\beta^2}}$$

where $$x'= x'_0sin(\omega t'+\varphi')$$?