Atnaujinkite slapukų nuostatas

Classical Electrodynamics: From Image Charges to the Photon Mass and Magnetic Monopoles 1st ed. 2016 [Minkštas viršelis]

  • Formatas: Paperback / softback, 195 pages, aukštis x plotis: 235x155 mm, weight: 3285 g, 4 Tables, color; 7 Illustrations, color; 50 Illustrations, black and white; XIV, 195 p. 57 illus., 7 illus. in color., 1 Paperback / softback
  • Serija: Undergraduate Lecture Notes in Physics
  • Išleidimo metai: 15-Aug-2016
  • Leidėjas: Springer International Publishing AG
  • ISBN-10: 3319394738
  • ISBN-13: 9783319394732
Kitos knygos pagal šią temą:
Classical Electrodynamics: From Image Charges to the Photon Mass and Magnetic Monopoles 1st ed. 2016Didesnis paveikslėlis
  • Formatas: Paperback / softback, 195 pages, aukštis x plotis: 235x155 mm, weight: 3285 g, 4 Tables, color; 7 Illustrations, color; 50 Illustrations, black and white; XIV, 195 p. 57 illus., 7 illus. in color., 1 Paperback / softback
  • Serija: Undergraduate Lecture Notes in Physics
  • Išleidimo metai: 15-Aug-2016
  • Leidėjas: Springer International Publishing AG
  • ISBN-10: 3319394738
  • ISBN-13: 9783319394732
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9783319394732.html
Raktažodžiai:
This book proposes intriguing arguments that will enable students to achieve a deeper understanding of electromagnetism, while also presenting a number of classical methods for solving difficult problems. Two chapters are devoted to relativistic electrodynamics, covering all aspects needed for a full comprehension of the nature of electric and magnetic fields and, subsequently, electrodynamics. Each of the two final chapters examines a selected experimental issue, introducing students to the work involved in actually proving a law or theory. Classical books on electricity and magnetism are mentioned in many references, helping to familiarize students with books that they will encounter in their further studies. Various problems are presented, together with their worked-out solutions. The book is based on notes from special lectures delivered by the author to students during the second year of a BSc course in Physics, but the subject matter may also be of interest to senior physici

sts, as many of the themes covered are completely ignored or touched only briefly in standard textbooks.

1. Classical Electrodynamics: a short survey.- 2. Orthogonal coordinates.- 3. Multipole expansion.- 4. Method of image charges.- 5. Image charges and dielectrics.- 6. Electrostatics and complex functions.- 7. Relativistic transformations of the electric and magnetic fields.- 8. Relativistic Covariance of the Electrodynamics.- 9. The resonant cavity.- 10. Energy and momentum of the electromagnetic field.- 11. The Feynman paradox.- 12. The test of Coulomb"s Law and the mass of the photon.- 13. Magnetic Monopoles.
1 Classical Electrodynamics: A Short Review
1(16)
1.1 Coulomb's Law and the First Maxwell Equation
1(3)
1.2 Charge Conservation and Continuity Equation
4(1)
1.3 Absence of Magnetic Charges in Nature and the Second Maxwell Equation
4(1)
1.4 Laplace's Laws and the Steady Fourth Maxwell Equation
5(1)
1.5 Faraday's Law and the Third Maxwell Equation
6(1)
1.6 Displacement Current and the Fourth Maxwell Equation
7(1)
1.7 Maxwell Equations in Vacuum
7(1)
1.8 Maxwell Equations in Matter
7(2)
1.9 Electrodynamic Potentials and Gauge Transformations
9(4)
1.10 Electromagnetic Waves
13(4)
2 Multipole Expansion of the Electrostatic Potential
17(16)
2.1 The Potential of the Electric Dipole
17(1)
2.2 Interaction of the Dipole with an Electric Field
18(1)
2.3 Multipole Expansion for the Potential of a Distribution of Point Charges
19(3)
2.4 Properties of the Electric Dipole Moment
22(1)
2.5 The Quadrupole Tensor
23(1)
2.6 A Bidimensional Quadrupole
24(9)
Appendix
25(3)
Problems
28(1)
Solutions
28(5)
3 The Method of Image Charges
33(22)
3.1 The Method of Image Charges
33(1)
3.2 Point Charge and Conductive Plane
34(2)
3.3 Point Charge Near a Conducting Sphere
36(2)
3.4 Conducting Sphere in a Uniform Electric Field
38(3)
3.5 A Charged Wire Near a Cylindrical Conductor
41(14)
Problems
42(2)
Solutions
44(11)
4 Image Charges in Dielectrics
55(18)
4.1 Electrostatics in Dielectric Media
55(1)
4.2 Point Charge Near the Plane Separating Two Dielectric Media
56(3)
4.3 Dielectric Sphere in an External Uniform Electric Field
59(14)
Problems
62(1)
Solutions
63(10)
5 Functions of Complex Variables and Electrostatics
73(14)
5.1 Analytic Functions of Complex Variable
73(3)
5.2 Electrostatics and Analytic Functions
76(1)
5.3 The Function f(z) = z4
76(5)
5.3.1 The Quadrupole: f(z) = z2
76(1)
5.3.2 The Conductive Wedge at Fixed Potential
77(3)
5.3.3 Edge of a Thin Plate
80(1)
5.4 The Charged Wire: f(z) = log z
81(1)
5.5 Solution of the Laplace's Equation for Two-Dimensional Problems: Wire and Comers
82(5)
Problems
84(1)
Solutions
84(3)
6 Relativistic Transformation of E and B Fields
87(12)
6.1 From Charge Invariance to the 4-Current Density
87(3)
6.2 Electric Current in a Wire and a Charged Particle in Motion
90(2)
6.3 Transformation of the E and B Fields
92(1)
6.4 The Total Charge in Different Frames
93(6)
Problems
95(1)
Solutions
95(4)
7 Relativistic Covariance of Electrodynamics
99(14)
7.1 Electrodynamics and Special Theory of Relativity
99(2)
7.2 4-Vectors, Covariant and Contravariant Components
101(4)
7.3 Relativistic Covariance of the Electrodynamics
105(1)
7.4 4-Vector Potential and the Equations of Electrodynamics
105(1)
7.5 The Continuity Equation
106(1)
7.6 The Electromagnetic Tensor
106(1)
7.7 Lorentz Transformation for Electric and Magnetic Fields
107(1)
7.8 Maxwell Equations
108(2)
7.8.1 Inhomogeneous Equations
108(1)
7.8.2 Homogeneous Equations
109(1)
7.9 Potential Equations
110(1)
7.10 Gauge Transformations
110(1)
7.11 Phase of the Wave
111(1)
7.12 The Equations of Motion for a Charged Particle in the Electromagnetic Field
111(2)
8 The Resonant Cavity
113(8)
8.1 The Capacitor at High Frequency
113(5)
8.2 The Resonant Cavity
118(3)
9 Energy and Momentum of the Electromagnetic Field
121(22)
9.1 Poynting's Theorem
121(3)
9.2 Examples
124(3)
9.2.1 Resistor
124(1)
9.2.2 Solenoid
124(2)
9.2.3 Condenser
126(1)
9.3 Energy Transfer in Electrical Circuits
127(2)
9.4 The Maxwell Stress Tensor
129(4)
9.5 Radiation Pressure on a Surface
133(2)
9.6 Angular Momentum
135(1)
9.7 The Covariant Maxwell Stress Tensor
135(8)
Problems
136(1)
Solutions
137(6)
10 The Feynman Paradox
143(18)
10.1 The Paradox
143(2)
10.2 A Charge and a Small Magnet
145(1)
10.3 Analysis of the Angular Momentum Present in the System
146(2)
10.4 Two Cylindrical Shells with Opposite Charge in a Vanishing Magnetic Field
148(13)
Problem
156(1)
Solution
157(4)
11 Test of the Coulomb's Law and Limits on the Mass of the Photon
161(12)
11.1 Gauss's Law
162(1)
11.2 First Tests of the Coulomb's Law
162(2)
11.3 Proca Equations
164(2)
11.4 The Williams, Faller and Hill Experiment
166(2)
11.5 Limits from Measurements of the Magnetic Field of the Earth and of Jupiter
168(1)
11.6 The Lakes Experiment
169(1)
11.7 Other Measurements
170(1)
11.8 Comments
171(2)
Appendix: Proca Equations from the Euler-Lagrange Equations
172(1)
12 Magnetic Monopoles
173(16)
12.1 Generalized Maxwell Equations
173(1)
12.2 Generalized Duality Transformation
174(2)
12.3 Symmetry Properties for Electromagnetic Quantities
176(1)
12.4 The Dirac Monopole
177(1)
12.5 Magnetic Field and Potential of a Monopole
178(1)
12.6 Quantization Relation
179(2)
12.7 Quantization from Electric Charge-Magnetic Dipole Scattering
181(1)
12.8 Properties of the Magnetic Monopoles
182(2)
12.8.1 Magnetic Charge and Coupling Constant
182(1)
12.8.2 Monopole in a Magnetic Field
183(1)
12.8.3 Ionization Energy Loss for Monopoles in Matter
183(1)
12.9 Searches for Magnetic Monopoles
184(5)
12.9.1 Dirac Monopoles
185(1)
12.9.2 GUT Monopoles
185(4)
Appendix A Orthogonal Curvilinear Coordinates 189
Francesco Lacava is Associate Professor of Experimental Physics at the University of Rome Sapienza, Italy. His research interests include the physics of hadron colliders and the development of detectors for particle physics. He has been involved in the ATLAS Experiment at LHC over the past two decades, and is currently working on the upgrade of the muon tracking detectors. He previously participated in the UA1 Experiment at the CERN proto-antiproton collider, which discovered the W and Z bosons in 1983. He is the author or co-author of more than 600 papers on high-energy particle physics and detectors.