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Electrodynamics: An Intensive Course 1st ed. 2016 [Kietas viršelis]

  • Formatas: Hardback, 669 pages, aukštis x plotis: 235x155 mm, 140 Illustrations, black and white; XVII, 669 p. 140 illus., 1 Hardback
  • Išleidimo metai: 14-Nov-2016
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3642173802
  • ISBN-13: 9783642173806
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 669 pages, aukštis x plotis: 235x155 mm, 140 Illustrations, black and white; XVII, 669 p. 140 illus., 1 Hardback
  • Išleidimo metai: 14-Nov-2016
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3642173802
  • ISBN-13: 9783642173806
Kitos knygos pagal šią temą:
Classical electrodynamics is one of the most beautiful and productive theories in physics. This book differs from the many others on the subject, approaching the theory from an axiomatic perspective and providing well over 100 solved and proposed problems.

This book is devoted to the fundamentals of Classical Electrodynamics, one of the most beautiful and productive theories in physics. A general survey on the applicability of physical theories shows that only few theories can be compared to Electrodynamics. Essentially, all electric and electronic devices used around the World are based on the Theory of Electromagnetism. It was Maxwell who created, for the first time, a unified description of the electric and magnetic phenomena in his electromagnetic field theory.Remarkably, Maxwell's theory contained in itself also the relativistic invariance of the Special Relativity, a fact which was discovered only a few decades later. The present book is an outcome of the authors' teaching experience over many years in different countries and for different students studying diverse fields of physics. The book is intended for students at the level of undergraduate and graduate studies in physics, astronomy, engineering, applied mathematics and for researchers working in related subjects. We hope that the reader will not only acquire knowledge, but will also grasp the beauty of Theoretical Physics. A set of about 130 solved and proposed problems shall help to attain this aim.

Recenzijos

This book presents the theory of electromagnetism and is aimed at an advanced undergraduate or early graduate student . Each chapter includes five solved problems which nicely complement the chapters content, and 10 unsolved problems that help fill in more calculational details and provide some practice with the theoretical formalism. (Peter Bernard Weichman, Mathematical Reviews, August, 2017)

Part I Electrodynamics: Phenomenological Approach
1 Electrostatic Field
3(74)
1.1 Electrostatic Field in Vacuum
3(23)
1.1.1 Coulomb's Law
3(1)
1.1.2 Charge Density
4(1)
1.1.3 Electrostatic Field Strength
5(1)
1.1.4 Field Lines
6(1)
1.1.5 Flux of the Electrostatic Field
7(2)
1.1.6 Electrostatic Field Potential
9(2)
1.1.7 Equipotential Surfaces
11(1)
1.1.8 Equations of the Electrostatic Potential
12(5)
1.1.9 Electrostatic Field Energy
17(2)
1.1.10 Electrostatic Dipole
19(3)
1.1.11 Electrostatic Multipoles
22(4)
1.2 Electrostatic Field in Polarized Media
26(7)
1.2.1 Dielectric Polarization
26(1)
1.2.2 Gauss's Law for Dielectric Media
27(1)
1.2.3 Types of Dielectrics
28(2)
1.2.4 Jump Conditions for the Components of the Fields E and D
30(3)
1.3 Special Methods of Solving Problems in Electrostatics
33(20)
1.3.1 Method of Electric Images
34(7)
1.3.2 Integration of the Laplace Equation by the Method of Separation of Variables
41(6)
1.3.3 Two-Dimensional Electrostatic Problems and Conformal Mapping
47(6)
1.4 Mechanical Action of the Electrostatic Field on Dielectric Media. Electrostriction
53(5)
1.5 Solved Problems
58(16)
1.6 Proposed Problems
74(3)
2 Fields of Stationary Currents
77(38)
2.1 Magnetostatic Field in Vacuum
77(20)
2.1.1 Stationary Electric Current
77(1)
2.1.2 Fundamental Laws
78(6)
2.1.3 Magnetic Field of a Stationary Electric Current
84(2)
2.1.4 Magnetic Dipole
86(3)
2.1.5 Ampere's Circuital Law
89(2)
2.1.6 Vector Potential of the Field of a Stationary Current
91(1)
2.1.7 Energy of the Magnetic Field of Stationary Currents
92(2)
2.1.8 Magnetic Multipoles
94(3)
2.2 Magnetostatic Field in Magnetized Media
97(7)
2.2.1 Polarized Magnetic Media
97(2)
2.2.2 Types of Magnetizable Media
99(3)
2.2.3 Jump Conditions for the Components of the Fields H and B
102(2)
2.3 Solved Problems
104(9)
2.4 Proposed Problems
113(2)
3 The Electromagnetic Field
115(54)
3.1 Maxwell's Equations in Vacuum
115(5)
3.1.1 Maxwell--Ampere Equation
115(2)
3.1.2 Maxwell--Faraday Equation
117(3)
3.2 Maxwell's Equations for Polarizable Media
120(9)
3.2.1 Source-free Equations
123(1)
3.2.2 Equations with Sources
123(6)
3.3 Jump Conditions
129(1)
3.4 Electromagnetic Field Energy. Poynting's Theorem
130(2)
3.5 Uniqueness of the Solutions of Maxwell's Equations
132(2)
3.6 Electromagnetic Momentum. Momentum Theorem
134(2)
3.7 Electromagnetic Angular Momentum. Angular Momentum Theorem
136(1)
3.8 Electrodynamic Potentials
137(1)
3.9 Differential Equations for the Electrodynamic Potentials
138(5)
3.9.1 Gauge Transformations
141(2)
3.10 Different Types of Electrodynamic Potentials
143(3)
3.10.1 Antipotentials
143(1)
3.10.2 Hertz's Vector Potential
144(2)
3.11 Electrodynamic Potentials and the Analytical Derivation of Some Fundamental Equations
146(5)
3.11.1 Analytical Derivation of the Equation of Motion of a Point Charge in an External Electromagnetic Field
147(1)
3.11.2 Analytical Derivation of Maxwell's Equations
148(3)
3.12 Electromagnetic Field Equations for Moving Media
151(8)
3.12.1 Source-free Equations
151(5)
3.12.2 Source Equations
156(3)
3.13 Solved Problems
159(8)
3.14 Proposed Problems
167(2)
4 Electromagnetic Waves
169(130)
4.1 Conductors, Semiconductors, Dielectrics
169(2)
4.2 Propagation of Electromagnetic Waves in Dielectric Media
171(7)
4.2.1 Spherical Waves
173(2)
4.2.2 Transversality of Electromagnetic Waves
175(2)
4.2.3 Electromagnetic Theory of Light
177(1)
4.3 Polarization of the Electromagnetic Waves
178(5)
4.4 Reflection and Refraction of Plane Electromagnetic Waves
183(8)
4.4.1 Laws of Reflection and Refraction
185(1)
4.4.2 Fresnel's Formulas
186(5)
4.5 Propagation of Electromagnetic Waves in Massive Conductors. Skin Effect
191(4)
4.6 Propagation of Electromagnetic Waves in Semiconductors
195(2)
4.7 Propagation of Electromagnetic Waves in Anisotropic Media
197(9)
4.7.1 Fresnel's Ellipsoid
198(1)
4.7.2 Fresnel's Law of Velocities for Electromagnetic Waves
199(7)
4.8 Dispersion of Electromagnetic Waves
206(20)
4.8.1 Phase Velocity and Group Velocity
208(6)
4.8.2 Classical Theory of Dispersion
214(5)
4.8.3 Kramers--Kronig Dispersion Relations
219(4)
4.8.4 Dispersion in Crystals
223(3)
4.9 Propagation of Electromagnetic Waves in Waveguides
226(13)
4.9.1 Rectangular Waveguides
227(7)
4.9.2 Circular Waveguides
234(3)
4.9.3 Borgnis' Method
237(2)
4.10 Electromagnetic Radiation
239(12)
4.10.1 Solutions of the Electrodynamic Potential Equations
239(10)
4.10.2 Wiechert--Lienard Potentials
249(2)
4.11 Potentials of a Time-Variable Continuous Charge Distribution
251(31)
4.11.1 Electric Dipole Radiation
257(6)
4.11.2 The Centre-Fed Thin Linear Antenna
263(19)
4.12 Solved Problems
282(14)
4.13 Proposed Problems
296(3)
5 Elements of Magnetofluid Dynamics
299(36)
5.1 Basic Equations of Magnetofluid Dynamics
300(3)
5.2 Freezing-In of Magnetic Field Lines
303(1)
5.3 Magnetohydrodynamic Waves
304(5)
5.4 Some Problems of Magnetohydrostatics
309(6)
5.4.1 Magnetic Thermal Insulation. The Pinch Effect
310(3)
5.4.2 Force-Free Fields
313(2)
5.5 Solved Problems
315(15)
5.6 Proposed Problems
330(5)
Part II Relativistic Formulation of Electrodynamics
6 Special Theory of Relativity
335(42)
6.1 Experimental Basis of Special Relativity
335(9)
6.1.1 Aberration of Light
337(1)
6.1.2 Doppler Effect
338(2)
6.1.3 Fizeau's Experiment
340(1)
6.1.4 Michelson--Morley Experiment
341(3)
6.2 Principles of Special Relativity
344(9)
6.2.1 Einstein's Postulates
344(3)
6.2.2 Lorentz Boosts
347(6)
6.3 Some Consequences of the Lorentz Transformations
353(13)
6.3.1 Relativity of Simultaneity
353(3)
6.3.2 Length Contraction
356(2)
6.3.3 Time Dilation
358(2)
6.3.4 Relativistic Doppler Effect
360(4)
6.3.5 Composition of Velocities and Accelerations
364(2)
6.4 Solved Problems
366(9)
6.5 Proposed Problems
375(2)
7 Minkowski Space
377(60)
7.1 Time-Like and Space-Like Intervals
379(2)
7.2 Various Representations of Minkowski Space
381(6)
7.2.1 Euclidean-Complex Representation
381(3)
7.2.2 Hyperbolic Representation
384(3)
7.3 Four-Vectors
387(10)
7.3.1 Euclidean-Complex Representation
387(2)
7.3.2 Hyperbolic Representation
389(2)
7.3.3 Lorentz Group
391(6)
7.4 Relativistic Kinematics
397(2)
7.5 Relativistic Dynamics in Three-Dimensional Approach
399(6)
7.5.1 Notions, Quantities, and Fundamental Relations
399(3)
7.5.2 Variation of Mass with Velocity
402(2)
7.5.3 Relationship Between Mass and Energy
404(1)
7.6 Relativistic Dynamics in Four-Dimensional Approach
405(6)
7.6.1 Hamilton--Jacobi Equation
407(1)
7.6.2 Force Four-Vector
408(1)
7.6.3 Angular Momentum Four-Tensor
408(3)
7.7 Some Applications of Relativistic Mechanics
411(14)
7.7.1 Collision Between Two Particles
411(7)
7.7.2 Compton Effect
418(2)
7.7.3 Cherenkov Effect
420(5)
7.8 Solved Problems
425(8)
7.9 Proposed Problems
433(4)
8 Relativistic Formulation of Electrodynamics in Minkowski Space
437(74)
8.1 Point Charge in Electromagnetic Field
437(4)
8.1.1 Three-Dimensional Approach
437(1)
8.1.2 Covariant Approach
438(3)
8.2 Electromagnetic Field Tensor
441(9)
8.2.1 Gauge Invariance of Fμv
443(1)
8.2.2 Lorentz Transformations of the Electromagnetic Field
444(1)
8.2.3 Invariants of the Electromagnetic Field
445(5)
8.3 Covariant Form of the Equation of Continuity
450(3)
8.4 Covariant Form of Maxwell's Equations
453(5)
8.4.1 Maxwell's Equations for Vacuum
453(3)
8.4.2 Maxwell's Equations for Media
456(2)
8.5 Covariant Form of Constitutive Relations
458(5)
8.5.1 Relation Between Fμv and Gμv
459(2)
8.5.2 Covariant Form of Ohm's Law
461(2)
8.6 Four-Potential and Its Differential Equations
463(4)
8.7 Conservation Laws of Electrodynamics in Covariant Formulation
467(19)
8.7.1 Noether's Theorem
469(3)
8.7.2 Energy-Momentum Tensor
472(4)
8.7.3 Angular Momentum Tensor
476(2)
8.7.4 Belinfante Energy-Momentum Tensor
478(1)
8.7.5 Energy-Momentum Tensor of the Electromagnetic Field
478(4)
8.7.6 Laws of Conservation of Electromagnetic Field in the Presence of Sources
482(4)
8.8 Elements of Relativistic Magnetofluid Dynamics
486(4)
8.8.1 Fundamental Equations
486(2)
8.8.2 Bernoulli's Equation in Relativistic Magnetofluid Dynamics
488(2)
8.9 Solved Problems
490(16)
8.10 Proposed Problems
506(5)
Part III Introduction to General Relativity 9 General Theory of Relativity
511(80)
9.1 Classical Theory of Gravitation
512(3)
9.2 Principles of General Relativity
515(2)
9.3 Geodesies
517(3)
9.4 Covariant Derivatives
520(10)
9.4.1 Levi-Civita Connection
520(5)
9.4.2 Transformation Properties of the Connection Coefficients
525(2)
9.4.3 Other Connections and the Torsion Tensor
527(3)
9.5 Equations of Electrodynamics in the Presence of Gravitation
530(3)
9.5.1 Maxwell's Equations
530(2)
9.5.2 Equation of Continuity
532(1)
9.5.3 Equation of Motion of a Point Charge
532(1)
9.6 Riemann Curvature Tensor
533(4)
9.7 Einstein's Equations
537(9)
9.8 Central Gravitational Field. Schwarzschild Metric
546(6)
9.9 Other Solutions of Einstein's Equations
552(8)
9.10 Tests of General Relativity
560(18)
9.10.1 Precession of the Perihelion of Planets
560(4)
9.10.2 Deflection of Light by the Sun
564(2)
9.10.3 Gravitational Redshift
566(2)
9.10.4 Gravitational Time Delay
568(3)
9.10.5 Gravitational Waves
571(7)
9.11 Solved Problems
578(11)
9.12 Proposed Problems
589(2)
Appendix A Vectors and Vector Analysis 591(12)
Appendix B Tensors 603(14)
Appendix C Representations of Minkowski Space 617(12)
Appendix D Curvilinear Coordinates 629(8)
Appendix E Dirac's δ-Function 637(8)
Appendix F Green's Function 645(4)
Bibliography 649(4)
Author Index 653(4)
Subject Index 657
Masud Chaichian: Editor journal EPJ C, very prominent scientist in high energy physics.

Previous affiliations: Durham Univ, UK; Rutherford Appleton Laboratory, UK; Hamburg Univ, Germany;

Weizmann Institute, Israel; CERN.

Scientific interests: Quantum Field Theory, Noncommutative geometry, String theory,

Higher-Dimensional Theories

Teaching: Over 20 years experience in teaching Theories of Elementary Particle Physics, Path

Integrals, Theoretical physics

261 publications in SPIRES.

Address:

High Energy Physics Division

Department of Physical Sciences and Helsinki Institute of Physics

POB 64 (Gustaf Hällströmin katu 2), FIN-00014 University of Helsinki, Finland

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problems with solutions, end of chapter summaries, worked examples, high level figures, boxed inserts, highlighted key math and explanations, appendix, index