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E-raamat: Classical Field Theory

(Reed College, Oregon)
  • Formaat: EPUB+DRM
  • Ilmumisaeg: 27-Apr-2017
  • Kirjastus: Cambridge University Press
  • Keel: eng
  • ISBN-13: 9781108100335
  • Formaat - EPUB+DRM
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  • Formaat: EPUB+DRM
  • Ilmumisaeg: 27-Apr-2017
  • Kirjastus: Cambridge University Press
  • Keel: eng
  • ISBN-13: 9781108100335

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Classical field theory, which concerns the generation and interaction of fields, is a logical precursor to quantum field theory, and can be used to describe phenomena such as gravity and electromagnetism. Written for advanced undergraduates, and appropriate for graduate level classes, this book provides a comprehensive introduction to field theories, with a focus on their relativistic structural elements. Such structural notions enable a deeper understanding of Maxwell's equations, which lie at the heart of electromagnetism, and can also be applied to modern variants such as Chern–Simons and Born–Infeld. The structure of field theories and their physical predictions are illustrated with compelling examples, making this book perfect as a text in a dedicated field theory course, for self-study, or as a reference for those interested in classical field theory, advanced electromagnetism, or general relativity. Demonstrating a modern approach to model building, this text is also ideal for students of theoretical physics.

A comprehensive introduction to the methods of, and physics describable by, classical field theory. Written for advanced undergraduate students, this book demonstrates a modern approach to model building with compelling examples to illustrate the structure of field theories and their physical predictions.

Arvustused

'The style of the book is quite informal but the computations appear to be correct, complete and suitable to the scope of the book. The appendices about mathematical methods can be a good refresher for what was learnt in math courses and will suffice for understanding the mathematics in the different sections.' Giovanni Rastelli, Zentralblatt MATH

Muu info

A comprehensive introduction to the methods of, and physics describable by, classical field theory.
Preface ix
Acknowledgments xi
1 Special Relativity
1(37)
1.1 Geometry
1(4)
1.2 Examples and Implications
5(6)
1.3 Velocity Addition
11(2)
1.4 Doppler Shift for Sound
13(2)
1.5 Doppler Shift for Light
15(2)
1.6 Proper Time
17(2)
1.7 Energy and Momentum
19(5)
1.8 Force
24(1)
1.9 Special Relativity Requires Magnetic Fields
25(3)
1.10 Four-Vectors
28(10)
2 Point Particle Fields
38(41)
2.1 Definition
38(4)
2.2 Four-Dimensional Poisson Problem
42(3)
2.3 Lienard--Wiechert Potentials
45(10)
2.4 Particle Electric and Magnetic Fields
55(8)
2.5 Radiation: Point Particles
63(7)
2.6 Radiation: Continuous Sources
70(2)
2.7 Exact Point Particle Radiation Fields
72(3)
2.8 Radiation Reaction
75(4)
3 Field Lagrangians
79(33)
3.1 Review of Lagrangian Mechanics
79(6)
3.2 Fields
85(4)
3.3 Noether's Theorem and Conservation
89(3)
3.4 Stress Tensor
92(2)
3.5 Scalar Stress Tensor
94(2)
3.6 Electricity and Magnetism
96(4)
3.7 Sources
100(5)
3.8 Particles and Fields
105(3)
3.9 Model Building
108(4)
4 Gravity
112(24)
4.1 Newtonian Gravity
112(2)
4.2 Source Options
114(1)
4.3 Predictions: Non-relativistic
115(8)
4.4 Predictions: Relativistic
123(6)
4.5 Issues
129(7)
Appendix A Mathematical Methods 136(31)
Appendix B Numerical Methods 167(20)
Appendix C E&M from an Action 187(12)
References 199(2)
Index 201
Joel Franklin is a Professor in the Physics Department of Reed College, Oregon. His work focuses on mathematical and computational methods with applications to classical mechanics, quantum mechanics, electrodynamics, general relativity, and modifications of general relativity. He is author of two previous titles: Advanced Mechanics and General Relativity (Cambridge, 2010) and Computational Methods for Physics (Cambridge, 2013).