Quick Relativity Notes

Quick Relativity Notes - Standard Notation = β vc = γ 11...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

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.

Ask a homework question - tutors are online