Unformatted text preview: Standard Notation = β vc =- γ 11 β2 Lorentz Transformations = + Δx γΔx' vt = + Δt γΔt' vΔxc2 = Δy Δy' = Δz Δz' Special Cases = Δτ Δtγ = ΔL0 γΔL Velocity Addition and Transverse Velocities = +- / ucomb u1 u21 u1u2 c2 = [ + ] uy uy'γ 1 vc2ux' = [ + ] uz uz'γ 1 vc2ux' * Here, while = , = , Δy Δy' Δz Δz' the reason as to why the velocities are different is due to the transformation of time, which are dependent on , v x' . Force Transformations In frame S , , = , Fx Fy mγ3ax γay In frame S' , , = ( , ) Fx' Fy' m γ3ax γ2ay So, , =( , ) Fx Fy Fx' Fy'γ Invariant Interval The quantity =- Δs2 Δx2 cΔt2 is conserved in all reference frames. If > Δs2 0 , the separation is spacelike. If < Δs2 0 , the separation is timelike. If = Δs2 0 , the separation is lightlike. Spacelike events can be reversed due to observations, but timelike event separations cannot be reversed....
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This note was uploaded on 09/13/2008 for the course PHYSICS 2213 taught by Professor Erbil during the Spring '08 term at Georgia Tech.
- Spring '08