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Chapter1_15 - ′ ′ = ′ ′ ′ ′ = = x y y x x x v c...

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PHY3063 R. D. Field Department of Physics Chapter1_15.doc University of Florida Velocity Transformations Consider a particle moving with velocity v in the O-frame and v' in the O' frame . y y x x v v V v v = + = In the O-Frame In the O'-Frame dt dz v dt dy v dt dx v z y x = = = t d z d v t d y d v t d x d v z y x = = = Lorentz Transformations: 2 1 / 1 / β γ β = = c V ) ( ) ' ( x d t cd cdt z d dz y d dy cdt x d dx + = = = + = β γ β γ Velocities: + = + = + = = + + =
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Unformatted text preview: + ′ ′ = ′ + ′ ′ + ′ = = x y y x x x v c V v t d x d c t d y d c x d t d y d dt dy v v c V V v t d x d c c t d x d c x d t d t cd x d dt dx v 2 2 1 1 / ) / ( 1 ) ( 1 ) / ( ) ( y x z y' z' x' V Particle O: (v x ,v y ,v z ) O': (v x ',v y ',v z ') O O' Galilean Transformation Classical Physics Relativity!...
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