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General Lorentz Transformations

  1. Jan 17, 2017 #1
    1. The problem statement, all variables and given/known data
    We normally assume that the origins of two inertial frames coincide at t=t'=0. This way we find:
    t' = γ(t - vx/c2)
    x' = γ(x-vt)

    Suppose instead that when t=T the origin of S' (which is moving along the x-x' axis with speed v relative to S) has abscissa x=X (neglect y and z) and the S' clock at the origin of S' reads t'=0 at that moment.

    a. How do the Lorentz transformations from S to S' need to be modified?
    b. What about from S' to S?
    c. Write these in matrix form.

    Hint: you do not need to re-derive these transformations, try introducing an auxiliary frame that reduces the problem to the usual case.

    2. Relevant equations
    Lorentz transformations (above)

    3. The attempt at a solution

    I don't know how to start this problem...
     
  2. jcsd
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