9780393097931

SPECIAL RELATIVITY PA

by
  • ISBN13:

    9780393097931

  • ISBN10:

    0393097935

  • Edition: 00
  • Format: Textbook Paperback
  • Copyright: 8/17/1968
  • Publisher: W W NORTON

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Summary

The education Research Center at the Massachusetts Institute of Technology (formerly the Science Teaching Center) was established to study the process of instruction, aids thereto, and the learning process itself, with special reference to science teaching at the university level. Generous support from the National Science Foundation and from the Kettering, Shell, Victoria, W. T. Grant, and Bing Foundations provided the means for assembling and maintaining an experienced staff to cooperate with members of the Institute's Physics Department in the examination, improvement, and development of physics curriculum materials for students planning a career in the sciences.After careful analysis of objectives and the problems involved, preliminary versions of textbooks were prepared, tested through classroom use at M.I.T. and other institutions, re-evaluated, rewritten, and tried again. Only then were the final manuscripts undertaken.In general the books in the series will be brief. Most may be covered in a single term or less. Each will be available in either cloth or paper binding. Their brevity and structure (as well as their reasonable price) will make it possible for teachers to select topics and organize courses according to individual needs and preferences.

Table of Contents

Preface ix
Departures from newtonian dynamics
3(34)
Newton
5(1)
``The ultimate speed''
6(5)
Photons
11(2)
The energy-momentum relation for photons
13(3)
Matter and radiation: the inertia of energy
16(4)
Energy, momentum, and mass
20(4)
Is the new dynamics correct?
24(2)
Motion under a constant force
26(1)
``Einstein's box unhinged''
27(1)
Some comments
28(9)
Problems
29(8)
Perplexities in the propagation of light
37(26)
The nature of light
38(1)
The luminiferous ether
39(2)
Stellar aberration
41(3)
A modified aberration experiment
44(2)
Fizeau's measurement of the drag coefficient
46(3)
Prelude to the Michelson-Morley experiment
49(2)
The Michelson-Morley experiment
51(6)
Concluding remarks
57(6)
Problems
58(5)
Einstein and the Lorentz-Einstein transformations
63(26)
Preamble: the contraction hypothesis
63(2)
Einstein reasserts relativity
65(1)
Relativity according to Galileo and Newton
66(2)
The transformation of Newton's law
68(2)
Einstein and the universality of c
70(2)
The second postulate and observational evidence
72(2)
The relativity of simultaneity
74(2)
The Lorentz-Einstein transformations
76(5)
More about the Lorentz transformations
81(1)
Minkowski diagrams: Space-time
82(1)
A space-time invariant
83(6)
Problems
85(4)
Relativity and the measurement of lengths and time intervals
89(36)
Observers
90(2)
Point events and their transformations
92(2)
Time measurements
94(2)
The Lorentz contraction
96(1)
Time dilation
97(4)
Observation of time dilation with cosmic-ray mesons
101(3)
Another interpretation of the time-dilation experiment
104(1)
More about time and length measurements
105(4)
A Michelson-Morley experiment with lasers
109(2)
Relativity is truly relative
111(6)
Space-time intervals and causality
117(8)
Problems
120(5)
Relativistic kinematics
125(42)
Transformation of velocities
125(2)
Radiation from a rapidly moving source
127(4)
Light in a moving medium: the drag coefficient
131(1)
Transverse motions; stellar aberration
132(2)
The Doppler effect
134(5)
More about Doppler effects
139(5)
Doppler effect and time dilation
144(3)
A new search for the ether
147(2)
Looking at moving clocks and other objects
149(3)
Accelerated motions
152(2)
The twins
154(13)
Problems
159(8)
Relativistic dynamics---collisions and conservation laws
167(38)
Two views of an elastic collision
169(3)
Two views of an inelastic collision
172(3)
Further remarks on the conservation laws
175(1)
Absorption and emission of photons
176(4)
The Mossbauer effect
180(3)
The photon rocket
183(1)
Creation of particles
184(7)
Scattering
191(6)
The Doppler effect revisited
197(8)
Problems
199(6)
More about relativistic dynamics
205(24)
An energy-momentum invariant and its use
205(3)
Lorentz transformations for energy and momentum
208(5)
Four-vectors
213(1)
Force in relativistic mechanics
214(5)
Magnetic analysis of relativistic particles
219(2)
General force transformations; action and reaction
221(8)
Problems
225(4)
Relativity and electricity
229(40)
Coulomb's law
231(1)
The magnetic force on a moving charge
232(2)
Introducing the relativistic approach
234(2)
The transformation of Coulomb's law
236(1)
The force on a stationary test charge
237(7)
The force on a moving test charge
244(6)
The field of a line distribution of charge
250(4)
The magnetic field and relativity
254(2)
The magnetic force on a moving charge due to a current-bearing wire
256(3)
More about magnetic forces and Lorentz contractions
259(3)
The force between current-bearing wires
262(2)
Units and systems of electric and magnetic measurement
264(5)
Problems
267(2)
Epilogue 269(4)
A short bibliography 273(4)
Answers to problems 277(4)
Index 281

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