# Download e-book for kindle: Introduction to Modern Physics by John Mcgervey (Auth.)

By John Mcgervey (Auth.)

ISBN-10: 0124835600

ISBN-13: 9780124835603

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Download e-book for kindle: New Developments in Semiconductor Physics by F. Beleznay, G. Ferenczi, J. Giber

This quantity contains lecture notes and chosen contributed papers provided on the overseas summer season university on New advancements in Semiconductor Physics held on the college of Szeged, July 1-6, 1979. the foremost a part of the contributions during this quantity is expounded to the recent experimental technics and theoretical principles utilized in learn of recent semiconductor fabrics, in general III-V semiconductors.

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We compute the time difference between rays as before, using the Fresnel dragging coefficient. The speeds relative to the medium (water) are c/n ± v/n as before, but now the medium is moving with velocity ν relative to the observer. The speed of the clockwise ray, relative to the observer, is c/n + v(\ — \/n ) for the entire time that it spends in the water; the corresponding speed for the counterclockwise ray is c/n — v{\ — l/n ). The time difference between the rays is then 2 2 2 Six — (n - 1 ) 2 (v < c) (4) where / is the entire distance traveled by each ray in the water.

8 shown as they 48 THE THEORY OF RELATIVITY We may also solve the problem by more explicit use of the Lorentz trans­ formation. Let the train be system S and the platform be S'. Give the event " A fires" the coordinates x = x = x = x = 0. Then " B fires" has co­ ordinates x = 15 m and x = 0. We wish to find x , which gives the time of " B fires" in system S'. We insert the values of x and x into Eq. (17), using β = —c/5 (because S' is moving in the negative x direction relative to S), and we find 3 3 4 3 4 4 4 3 4 3 , _x -15ij?

The reader should verify that Eq. (16) satisfies the condition c o s α + sin α = 1. Equations (13), the Lorentz transformation, may now be written 2 2 44 THE THEORY OF RELATIVITY ij8x (17a) 4 ( 1 - j ? • 2)x 1 / 2 2 »2\l/2 (i-j? ) 2 + •2Λ1/2 Instead of saying that S' is moving with velocity ν with respect to S, we could equally well have said that 5 is moving with velocity —v relative to S'. Therefore one can find the transformation which gives the coordinates of S in terms of the coordinates of S' simply by interchanging the primed and unprimed coordinates and replacing β by - β in Eqs.