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Sidney Coleman's Lectures on Relativity [Kõva köide]

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Edited by (University of Chicago), Edited by , Edited by (Reed College, Oregon)
  • Formaat: Hardback, 223 pages, kõrgus x laius x paksus: 256x175x17 mm, kaal: 650 g, Worked examples or Exercises
  • Ilmumisaeg: 13-Jan-2022
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1316511723
  • ISBN-13: 9781316511725
Teised raamatud teemal:
Sidney Coleman's Lectures on RelativitySuurem pilt
  • Formaat: Hardback, 223 pages, kõrgus x laius x paksus: 256x175x17 mm, kaal: 650 g, Worked examples or Exercises
  • Ilmumisaeg: 13-Jan-2022
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1316511723
  • ISBN-13: 9781316511725
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9781316511725.html
Märksõnad:
Sidney Coleman (1937–2007) earned his doctorate at Caltech under Murray Gell-Mann. Before completing his thesis, he was hired by Harvard and remained there his entire career. A celebrated particle theorist, he is perhaps best known for his brilliant lectures, given at Harvard and in a series of summer school courses at Erice, Sicily. Three times in the 1960s he taught a graduate course on Special and General Relativity; this book is based on lecture notes taken by three of his students and compiled by the Editors.

Sidney Coleman, a celebrated particle theorist, is perhaps best known for his brilliant lectures. He taught a graduate course on Special and General Relativity three times at Harvard, and this book is based on lecture notes taken by three of his students and compiled by the Editors.

Arvustused

'Sidney Coleman was one of the deepest thinkers and clearest teachers of modern physics. His Lectures on Relativity are a delight: brimming with insights, they invite us to survey Einstein's greatest scientific legacy with a modern theorist's toolkit.' David Kaiser, Professor of Physics and the History of Science, Massachusetts Institute of Technology 'One important lesson my esteemed mentor, Sidney Coleman, imparted to me was that if one were to claim that one understood something, one should mean it. Coleman is the undisputed master of clear understanding. Apparently, many theoretical physicists never got the memo. I hope that the reader of this, and other, Coleman books will eventually get the message by osmosis.' A. Zee, Theoretical Physicist at University of California, Santa Barbara and the author of several books on physics, including Einstein Gravity in a Nutshell 'It is a pleasure to read Sidney Coleman's Lectures on Relativity, characterized as one would expect by exceptional clarity and insight. They are surprisingly modern, to boot, including discussions of black holes and cosmology. Any fan of relativity would benefit from reading them.' Sean M. Carroll, California Institute of Technology 'In Sidney Coleman's Lectures on Relativity, we get the benefit of Sidney's questions. There are hundreds of question marks here, some leading the reader to the next topic and some highlighting confusing subtleties. It is not the Socratic method exactly because most of the questions are addressed to the smartest person in the room Sidney himself. But his supremely logical answers lead the reader through this important subject.' Howard Georgi, Mallinckrodt Professor of Physics, Harvard University ' the authors' careful, diligent and detailed preparation of this book has brought to life again, the brilliance of Sidney Coleman. a great resource and authoritative guide to both students and researchers.' Kymani Armstrong-Williams, Physics Book Reviews

Muu info

This book is based on a graduate course on relativity given by Sidney Coleman at Harvard during the 1960s.
Preface ix
Part I Special Relativity
1 The Geometry of Special Relativity
3(31)
1.1 Introduction
3(3)
1.1.1 Classical Physical Systems
3(1)
1.1.2 Symmetries
4(2)
1.2 Poincare Invariance
6(14)
1.2.1 Geometrical Symmetries of Classical Physics
6(5)
1.2.2 Active and Passive Transformations
11(1)
1.2.3 Minkowski Space
12(1)
1.2.4 Topological Structure of the Lorentz Group
13(4)
1.2.5 Rotations and Boosts
17(2)
1.2.6 Simultaneous Dilations and Lorentz Transformations
19(1)
1.3 Time Dilation and Lorentz Contraction
20(3)
1.3.1 Arc Length and Proper Time
20(1)
1.3.2 Time Dilation
21(1)
1.3.3 Lorentz Contraction
22(1)
1.4 Examples and Paradoxes
23(11)
1.4.1 The Time Dilation Paradox
23(2)
1.4.2 The Twin Paradox
25(2)
1.4.3 Doppler Shift
27(1)
1.4.4 The Bandits and the Train
27(1)
1.4.5 The Prisoner's Escape
28(1)
1.4.6 The Moving Cube
29(3)
1.4.7 Tachyons
32(2)
2 Relativistic Mechanics
34(29)
2.1 Tensor Formalism
34(5)
2.2 Conservation Laws
39(9)
2.2.1 Conservation Laws Depending Only on Velocity
40(5)
2.2.2 Conservation Laws including Position
45(3)
2.3 Lagrangian Particle Mechanics
48(3)
2.4 Lagrangian Field Theory
51(12)
2.4.1 Internal Symmetries and Conservation Laws
52(3)
2.4.2 Invariance under the Poincare Group
55(3)
2.4.3 Symmetrization of the Stress Tensor
58(5)
3 Relativistic Electrodynamics
63(32)
3.1 Lagrangian Formulation
63(5)
3.1.1 The Free Maxwell Field
63(3)
3.1.2 Maxwell Field with Source
66(2)
3.2 Potentials and Fields of a Point Charge
68(8)
3.2.1 The Action for a Point Charge
68(2)
3.2.2 Green's Function for the Wave Equation
70(5)
3.2.3 "In" and "Out" Fields
75(1)
3.3 Radiation from a Point Charge
76(4)
3.3.1 The Lienard--Wiechert Potential
76(2)
3.3.2 The Fields of a Point Charge
78(2)
3.4 Regularization and Renormalization
80(15)
3.4.1 Particle Motion with Radiation Reaction
84(5)
3.4.2 Conservation of Energy
89(1)
3.4.3 Hyperbolic Motion
90(5)
Part II General Relativity
4 The Principle of Equivalence
95(5)
4.1 Gravitational and Inertial Mass
95(1)
4.2 The Eotvos Experiment
96(1)
4.3 Gravitation and Geometry
97(1)
4.4 The Equivalence Principle Revisited
98(2)
5 Differential Geometry
100(32)
5.1 Manifolds
100(15)
5.1.1 Vectors
102(2)
5.1.2 Exterior Calculus
104(5)
5.1.3 Tensor Densities
109(6)
5.2 Affine Spaces
115(6)
5.2.1 Affine Connections
115(1)
5.2.2 HowΓ Transforms
116(2)
5.2.3 Parallel Transport of Tensors and Tensor Densities
118(1)
5.2.4 Covariant Derivatives
119(2)
5.3 Pviemannian Manifolds
121(11)
5.3.1 Relation between Affine Connection and Metric
123(1)
5.3.2 Symmetries of the Riemann Tensor
124(3)
5.3.3 Flatness and Curvature
127(5)
6 Gravity
132(30)
6.1 Motion in Curved Spacetime
132(6)
6.1.1 Program for a Theory of Gravity
132(1)
6.1.2 Classical Equations in Covariant Form
132(5)
6.1.3 Tidal Forces
137(1)
6.2 The Gravitational Field
138(12)
6.2.1 Einstein's Equation in Empty Space
138(4)
6.2.2 Alternative Theories
142(1)
6.2.3 The Source of Gravity
143(1)
6.2.4 Action Principle Formulation
144(6)
6.3 Linearized Gravity
150(12)
6.3.1 Simplifying the Field Equation
150(1)
6.3.2 Recovering Newton's Law
151(3)
6.3.3 Gravity Waves
154(8)
7 The Schwarzschild Solution
162(38)
7.1 Isometries
162(4)
7.2 The Exterior Solution
166(4)
7.3 Classic Tests of General Relativity
170(14)
7.3.1 Precession of the Perihelion of Mercury
171(5)
7.3.2 Bending of Starlight
176(3)
7.3.3 Gravitational Redshift
179(1)
7.3.4 What Do They Really Test?
180(4)
7.4 The Interior Solution
184(7)
7.5 The Schwarzschild Singularity
191(9)
7.5.1 Kruskal Coordinates
193(2)
7.5.2 Geometry of the Equatorial Surface
195(2)
7.5.3 Tidal Stress near r = 0
197(3)
8 Conservation and Cosmology
200(20)
8.1 Conservation Laws
200(3)
8.1.1 Scalar Conservation Laws
200(1)
8.1.2 The Energy--Momentum Pseudotensor
201(2)
8.2 The Universe at Large
203(7)
8.2.1 General Principles
204(4)
8.2.2 The Robertson--Walker Metric
208(1)
8.2.3 Redshift and Luminosity
209(1)
8.3 General Relativity and Cosmology
210(10)
8.3.1 The Friedman Universe
210(4)
8.3.2 The Cosmological Constant
214(1)
8.3.3 Singularities in the Robertson-Walker Metric
215(5)
Afterword
220(3)
Appendix A Compendium of Formulas
223(7)
Appendix B Final Exams
230(4)
B.1 Final Exam, 1966
230(1)
B.2 Final Exam, 1969
231(3)
Index 234
David J. Griffiths received his BA (1964) and PhD (1970) from Harvard University, and was Professor of Physics at Reed College from 1978 until 2009. He is author of Introduction to Electrodynamics (4th ed. Cambridge University Press, 2017), Introduction to Quantum Mechanics (3rd ed. with Darrell Schroeter, Cambridge University Press, 2018), Introduction to Elementary Particles (2nd ed. Wiley, 2008), and Revolutions in Twentieth-Century Physics (Cambridge, 2013). He is also co-editor of Quantum Field Theory Lectures of Sidney Coleman (World Scientific, 2018). He was a PhD student of Sidney Coleman, and this book is based in part on his lecture notes from Coleman's course on Relativity. David Derbes received his BA (1974) from Princeton University, Part III of the Mathematical Tripos at the University of Cambridge (1975), and his PhD (1979) from the University of Edinburgh. He was a high school teacher for forty years, winning a Golden Apple in 2007. He has edited Freeman Dyson's Advanced Quantum Mechanics (World Scientific, 2007, 2011), and is co-editor of Lillian Lieber's The Einstein Theory of Relativity (Paul Dry Books, Philadelphia, 2008) and Quantum Field Theory Lectures of Sidney Coleman (World Scientific, 2018). Richard B. Sohn received his BA (1969) and PhD (1976) in Physics from the University of Connecticut, and a Master's in Physics (1971) from the University of Maryland. He has held roles as a professor in physics, a research scientist, and a software engineer. He is co-editor of Quantum Field Theory Lectures of Sidney Coleman, (World Scientific, 2018).