relativity_9 - PHY2061 R D Field PHY2060 Review...

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PHY2061 R. D. Field Department of Physics relativity_9.doc University of Florida Relativistic Energy & Momentum Consider two frames of reference the O-frame (label energy and momentum according to E,p x ,p y ,p z ) and the O'-frame (label energy and momentum according to E',p x ',p y ',p z ') moving at a constant velocity V, with respect to each other at let the origins coincide at t= t' = 0. The Lorentz transformations tell us how the frames are related. z z y y x x x p c cp p c cp E p c cp p c E E = = + = + = ) ( ) ( β γ z z y y x x x cp p c cp p c E cp p c cp E E = = = = ) ( ) ( where 2 1 / 1 / = = c V . The following are Lorentz 4-vectors: =
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