relativity_2 - PHY2061 R D Field PHY2060 Review Lorentz...

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PHY2061 R. D. Field Department of Physics relativity_2.doc University of Florida Lorentz Transformation Consider two frames of reference the O-frame (label events according to t,x,y,z) and the O'- frame (label events according to t',x',y',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 O and O' frame are related. z z y y t c x x x t c ct = = + = + = ) ( ) ( β γ z z y y ct x x x ct t c = = = = ) ( ) ( z z y y t c x x t c ct = = + = = where 2 1 / 1 / = = c V . 4-vector Notation: =
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