By John B. Kogut
ISBN-10: 0080924085
ISBN-13: 9780080924083
ISBN-10: 0124175619
ISBN-13: 9780124175617
Creation to Relativity is meant to coach physics and astronomy majors on the freshman, sophomore or upper-division degrees tips to take into consideration detailed and common relativity in a basic, yet available, means. Designed to render any reader a ""master of relativity"", every thing at the topic is understandable and derivable from first rules. The booklet emphasizes challenge fixing, comprises ample problem Read more...
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Extra resources for Introduction to Relativity. For Physicists and Astronomers
Example text
How do we read off the coordinates of a space-time event in a coordinate system with non-orthogonal axes? Lines of constant e t' are parallel to the x' axis and lines of constant x' are parallel to the et' axis. 6. 5 ~ Recall that we drew the ct and x axes orthogonally. This was convenient and familiar, but the c t' -x' coordinate system shows that we must learn to use non-orthogonal systems. 7. Lines of constant c t', indicating a line of events that are simultaneous in frame S', are parallel to the x' axis, which has t' == O.
We will see that the Doppler shift gives us a convenient way of monitoring the readings on clocks in relative motion. This will be handy in our discussion of the Twin Paradox. 41 The Twin Paradox Probably the most famous paradox in all of science is the Twin Paradox. We will resolve this paradox in several ways because it overthrows the notion of Newtonian time so dramatically. We do so in the context of Minkowski diagrams, although the algebra that could accompany the diagrams would do as well.
Kalotas and A. R. Lee, Am. J. ] 3-3. Transverse (Quadratic) Doppler Shift. The Doppler shift we have discussed so far occurs when the transmitter and the detector of the waves are heading directly toward or away from one another. It might happen, however, that the transmitter and the detector approach one another at an angle () as Chapter 3 Problems 41 shown in the figure. The figure shows the transmitter with a velocity v traveling past an observer with the distance of closest approach, labeled R.