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Homework Help: Relativistic Harmonic Oscillator

  1. Aug 22, 2010 #1
    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

    [tex]x=x_0sin(\omega t+\varphi)[/tex]

    [tex]\upsilon=\omega x_0cos(\omega t+\varphi)[/tex]

    [tex]a=-\omega^2 x_0sin(\omega t+\varphi)[/tex]

    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. jcsd
  3. Aug 29, 2010 #2
    Re: Relativistic

    Any idea?
     
  4. Aug 29, 2010 #3
    Re: Relativistic

    Not at all. What's your question?
     
  5. Aug 29, 2010 #4
    Re: Relativistic

    Idea of solving this problem?

    Do i need to use Lorentz transformation

    [tex]x'=\frac{x-ut}{\sqrt{1-\beta^2}}[/tex]

    where [tex]x'= x'_0sin(\omega t'+\varphi')[/tex]?
     
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