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Phase space in special relativity

  1. May 4, 2014 #1
    In classical mechanics we can get a nice overview of the dynamics of a system by looking at its position-momentum phase space. Is there a useful analogue of this concept in special relativity? Can the dynamics of a relativistic system be represented by its phase space in the same way as is done in classical mechanics?
     
  2. jcsd
  3. May 4, 2014 #2

    WannabeNewton

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    Sure. For a single particle the phase space will be the 7-dimensional space of space-time coordinates and 4-momenta with the latter being restricted to the mass hyperboloid (the on-shell criterion). Using this we can do relativistic statistical mechanics in parallel with Newtonian statistical mechanics.
     
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