Recent content by arnau

  1. arnau

    I Lorentz transformation for 3 frames

    Sorry this should be: ... the code the user gives the parameters in lab frame ##S'##. They are then immediately boosted to ##S## frame. All the calculations are done in the co-moving ##S## frame. For some outputs ...
  2. arnau

    I Lorentz transformation for 3 frames

    Ok so this is for a simulation code where at the beginning of the code the user gives the parameters in lab frame ##S##. They are then immediately boosted to ##S'## frame. All the calculations are done in the co-moving ##S'## frame. For some outputs at certain required times, we transform back...
  3. arnau

    I Lorentz transformation for 3 frames

    If the particle were moving at ##\beta_z' = \beta_0##, then we could do ##z=\gamma_0z'##
  4. arnau

    I Lorentz transformation for 3 frames

    Thanks, I couldn't find the guide earlier. Much nicer now. By third reference frame I meant frame ##S''##, where the particle is at rest. At ##t'=0## the Lorentz transformation would be ##z = \gamma_0z'##, but this would be incorrect I believe, because you would be be transforming what ##S'##...
  5. arnau

    I Lorentz transformation for 3 frames

    A particle is moving in the lab frame ##S'## at ##\beta'_z##. I want to transform coordinates and momenta of the particle to a frame ##S## moving at ##\beta_0##. At time ##t = t' = 0##: $$z = \frac{z'} { \gamma_0 (1 - \beta'_z \beta_0) },\, \gamma\beta_z = \gamma_0 ( \gamma'\beta'_z -...
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