PHY3063 R. D. Field Department of Physics Chapter1_7.doc University of Florida Lorentz Transformation (derivation)Look for a transformation of the form zzyyEctDxxBxActtc=′=′+=′+=′where A, B, D, and E are to be determined. The inverse transformation is given by zzyyBEADtEcxAxBEADxBtDcct′=′=−′−′=−′−′=)/()()/()(Also we know that for x’ = 0 dx/dt = V and for x = 0 dx’/dt’ = -V thus cDEdtdxV−==and cAEtdxdV−=′′−=and hence D = A and E = -AV/c = -Aβwith β= V/c. We now require that 222222)(
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