A modern introduction to classical electrodynamics / Michele Maggiore.

Format:

Book

Author/Creator:

Maggiore, Michele, author.

Series:

Oxford scholarship online.

Oxford scholarship online

Language:

English

Subjects (All):

Electrodynamics.

Physical Description:

1 online resource (465 pages)

Place of Publication:

Oxford : Oxford University Press, 2023.

Summary:

'A Modern Introduction to Classical Electrodynamics' is suitable for undergraduate students with some background knowledge of the subject and for graduate students, while more advanced topics make it a useful resource for PhD students and researchers. The book places much emphasis on the formal structure of the theory; beginning with Maxwell's equations in the vacuum, it emphasises the central role of gauge invariance and special relativity.

Contents:

Cover

Titlepage

Copyright

Dedication

Preface

Contents

1 Mathematical tools

1.1 Vector algebra

1.2 Di erential operators on scalar and vector elds

1.3 Integration of vector elds. Gauss's and Stokes's theorems

1.4 Dirac delta

1.5 Fourier transform

1.6 Tensors and rotations

1.7 Groups and representations

2 Systems of units

2.1 The SI system

2.2 Gaussian units

2.3 SI or Gaussian?

3 Maxwell's equations

3.1 Maxwell's equations in vector form

3.2 Conservation laws

3.3 Gauge potentials and gauge invariance

3.4 Symmetries of Maxwell's equations

4 Elementary applications of Maxwell's equations

4.1 Electrostatics

4.2 Magnetostatics

4.3 Electromagnetic induction

4.4 Solved problems

5 Electromagnetic energy

5.1 Work and energy in electrostatics

5.2 Energy stored in a static electric eld

5.3 Work and energy in magnetostatics

5.4 Energy stored in a static magnetic eld

5.5 Forces and mechanical potentials

5.6 Solved problems

6 Multipole expansion for static elds

6.1 Electric multipoles

6.2 Magnetic multipoles

6.3 Point-like electric or magnetic dipoles

6.4 Multipole expansion of interaction potentials

6.5 Solved problems

7 Special Relativity

7.1 The postulates

7.2 Space and time in Special Relativity

7.3 The mathematics of the Lorentz group

7.4 Relativistic particle kinematics

8 Covariant formulation of electrodynamics

8.1 The four-vector current

8.2 The four-vector potential

and the

tensor

8.3 Covariant form of Maxwell's equations

8.4 Energy-momentum tensor of the electromagnetic eld

8.5 Lorentz transformations of electric and magnetic elds

8.6 Relativistic formulation of the particleeld interaction

8.7 Field-theoretical approach to classical electrodynamics

8.8 Solved problems.

9 Electromagnetic waves in vacuum

9.1 Wave equations

9.2 Electromagnetic waves in the Lorenz gauge

9.3 Electromagnetic waves in the Coulomb gauge

9.4 Solutions for E and B

9.5 Polarization of light

9.6 Doppler e ect and light aberration

10 Electromagnetic eld of moving charges

10.1 Advanced and retarded Green's function

10.2 The Li enard{Wiechert potentials

10.3 Fields of charge in uniform motion

10.4 Radiation eld from accelerated charges

10.5 Radiation from non-relativistic charges. Larmor formula

10.6 Power radiated by relativistic sources

10.7 Solved problems

11 Radiation from localized sources

11.1 Far zone elds for generic velocities

11.2 Low-velocity limit and multipole expansion of the radiation eld

11.3 Near zone, far zone and induction zone

11.4 Solved problems

12 Post-Newtonian expansion and radiation reaction

12.1 Expansion for small retardation

12.2 Dynamics to order

12.3 Self-force and radiation reaction

13 Electromagnetic elds in material media

13.1 Maxwell's equations for macroscopic elds

13.2 The macroscopic charge density: free and bound charges

13.3 The macroscopic current density

13.4 Maxwell's equations in material media

13.5 Boundary conditions on E, B, D, H

13.6 Constitutive relations

13.7 Energy conservation

13.8 Solved problems

14 Frequency-dependent response of materials

14.1 General properties of

,

14.2 Causality constraints and Kramers{Kronig relations

14.3 The Drude{Lorentz model for

14.4 The Drude model of conductivity

14.5 The dielectric function of metals

15 Electromagnetic waves in material media

15.1 Electromagnetic waves in dielectrics

15.2 Phase velocity and group velocity

15.3 Electromagnetic waves in metals

15.4 Electromagnetic waves in waveguides.

16 Scattering of electromagnetic radiation

16.1 Scattering cross-section

16.2 Scattering on a free electron

16.3 Scattering on a bound electron

A Electrodynamics in Gaussian units

References

Index.

Notes:

Also issued in print: 2023.

Includes bibliographical references and index.

Description based on online resource and publisher information; title from PDF title page (viewed on September 12, 2023).

ISBN:

0-19-195949-9

0-19-269305-0

OCLC:

1394121645