Chapter2_6 - = = + + = + + = + + = = ) 1 ( 1 ) 1 ( 1 1 / )...

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

View Full Document Right Arrow Icon
PHY3063 R. D. Field Department of Physics Chapter2_6.doc University of Florida Force Transformations Consider a particle moving with velocity v' in the x' direction in the O' frame . Let β = V/c and β ' = v'/c. Hence, β ' = p x 'c/E' and t d p d c t d p d p d E d t d E d c E p c p d E d c m p c E x x x x x x = = = = + = β 2 2 2 0 2 2 ) ( In the O-Frame In the O'-Frame dt dp F dt dp F dt dx v y y x x = = = t d p d F t d p d F t d x d v y y x x = = = Lorentz Transformations: 2 1 / 1 / γ = = c V ) ( ) ' ( x d t cd cdt y d dy cdt x d dx + = = + = ) ( ) ( x y y x x p cd E d dE p d dp E d p cd cdp + = = + = Forces: () () y y y y y y x x x x x x x F t d p d t d x d c t d p d c x d t d p d dt dp F F t d p d t d p d t d x d c t d E d c t d p d c x d t d c E d p d dt dp F + = + = + = + = =
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: = = + + = + + = + + = = ) 1 ( 1 ) 1 ( 1 1 / ) / ( 1 1 1 ) / ( ) / ( + = = F F F F ) 1 ( 1 || || y x z y' z' x' V Particle O: (E,p x ,p y ,p z ) O': (E',p x ',p y ',p z ') O O' v'...
View Full Document

This note was uploaded on 05/29/2011 for the course PHY 3063 taught by Professor Field during the Spring '07 term at University of Florida.

Ask a homework question - tutors are online