Homework Help: Relativistic Harmonic Oscillator

1. Aug 22, 2010

Petar Mali

1. The problem statement, all variables and given/known data

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

2. Relevant equations

3. 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!
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Aug 29, 2010

Petar Mali

Re: Relativistic

Any idea?

3. Aug 29, 2010

novop

Re: Relativistic

Not at all. What's your question?

4. Aug 29, 2010

Petar Mali

Re: Relativistic

Idea of solving this problem?

Do i need to use Lorentz transformation

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

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

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