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Homework Help: Calculating velocity

  1. Mar 1, 2014 #1
    1. Hey,

    so I have a Lorentz violating wavepacket and from this I need to find the velocity.


    My wavepacket is of the form

    [tex\\begin{equation}
    \langle\varphi(t,x)\rangle \equiv\exp\Bigg[i\textbf{K}_M(t-x)-\frac{\Delta\textbf{K}_M}{4}(t-x)^2\Bigg]
    \end{equation}[/tex]

    where for this question you need to know that

    [tex]K_M=k_0+\frac{t}{2M^2}K_0^3[/tex]

    I did this:

    [tex]
    K_m(dt-dx)=k_0(dt-dx)+\frac{k_0^3}{2M^2}(t(dt-dx)+(t-x)dt)[/tex]

    I only need to calculate v from the first term in the exponent and dt=dx and v=dx/dt and it must be of the form 1+...
     
    Last edited: Mar 1, 2014
  2. jcsd
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