p09fl37 - Lecture 37 Four-vectors(30 Nov 09 Homework for...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

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

Unformatted text preview: Lecture 37: Four-vectors (30 Nov 09) Homework for December 7 is available as Supp09.pdf and ps. A. Review: Lorentz transformation 1. Frames S and S * moving with relative velocity v along ˆ x ct * = γ ( ct- βx ) x * = γ ( x- βct ) y * = y ; z * = z ; β = v/c ; γ = 1 / q 1- β 2 2. notation for 4-vector: x = ct , x 1 = x,x 2 = y,x 3 = z 3. Clocks and rods (a) Events E i = ( t i , r i ) and then in moving frame with primes. (b) Compare time interval for clock at rest (same position in S and when observed in lab frame (2 places): time dilation. t 2- t 1 = γ ([ t 2- t 1 ] + ( v/c 2 )[ x 2- x 1 ]) → Δ t = γ Δ t Gedanken experiment: measure time by the distance traveled di- vided by speed of light. Bounce light from a mirror with path at right angles to the relative velocity. Then calculate distance traveled as viewed in rest frame and as viewed in “lab” (c) Compare length of rod L in rest frame S and L S when measured (same times) in lab frame. x 2- x 1 = γ ([ x 2- x 1 ]- v [ t 2- t 1 ]) → L = γL S (d) Relativity of simultaneity: [Symon secs. 13.2 and 13.3] events simultaneous (equal times) in one frame appear at different times...
View Full Document

This note was uploaded on 12/14/2009 for the course PHYS 711 taught by Professor Bruch during the Fall '09 term at University of Wisconsin.

Page1 / 4

p09fl37 - Lecture 37 Four-vectors(30 Nov 09 Homework for...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online