A modern introduction to classical electrodynamics

• Verfasst von: Maggiore, Michele [VerfasserIn]
• Titel: A modern introduction to classical electrodynamics
• Verf.angabe: Michele Maggiore
• Verlagsort: Oxford
• Verlag: Oxford University Press
• E-Jahr: 2023
• Jahr: [2023]
• Umfang: 1 Online-Ressource (xv, 435 Seiten)
• Illustrationen: Illustrationen
• Gesamttitel/Reihe: Oxford master series in physics ; 27 : Statistical, computational, and theoretical physics
• Fussnoten: Description based on publisher supplied metadata and other sources
• ISBN: 978-0-19-269305-1
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe: Maggiore, Michele: A modern introduction to classical electrodynamics. - Oxford : Oxford University Press, 2023. - xv, 435 Seiten
• RVK-Notation: UH 1000
• K10plus-PPN: 1856592820
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

Beginning with Maxwell's equations in the vacuum, the text emphasises the central role of gauge invariance and of Special Relativity and is suitable for undergraduate students with some background knowledge of the subject and for graduate students.

Abstract

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.