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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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.

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Introduction to Modern Physics by John Mcgervey (Auth.)

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