relativity_3 - PHY2061 R. D. Field PHY2060 Review 4-Vector...

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

View Full Document Right Arrow Icon
PHY2061 R. D. Field Department of Physics relativity_3.doc University of Florida 4-Vector Notation 4-vector “dot product”: Define the 4-vector dot product as follows: 2 3 2 2 2 2 2 0 ~ ~ x x r x r r ! ! where = 3 2 1 0 ~ x x x x r a n d = 3 2 1 x x x r ! Space-Time 4-vectors: = z y x ct r ~ = z y x t c r ~ = 1 0 0 0 0 1 0 0 0 0 0 0 γ βγ L = 1 0 0 0 0 1 0 0 0 0 0 0 1 L 2 1 / 1 / β = = c V r L r = ~ ~ r L r ~ ~ 1 = Lorentz Invariant: A “Lorentz invariant” is any quantity that is the same in all inertial
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online