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electro
ic
field
theory
ϒ
Bo Thidé
C O M M U N A U P S I L O N B O O K S
Bo Thidé
IC FIELD THEORY
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IC FIELD THEORY
EXERCISES
by
Tobia Carozzi, Anders Eriksson, Bengt ,
Bo Thidé and Mattias Waldenvik
IC
FIELD THEORY
Bo Thidé
Department of Space and Plasma Physics
Uppsala University
and
Swedish Institute of Space Physics
Uppsala Division
Sweden
ϒ
C O M M U N A U P S I L O N B O O K S
This book was typeset in LATEX 2ε
on an HP9000/700 series workstation
and printed on an HP LaserJet 5000GN printer.
Copyright ¡ c 1997, 1998, and 1999 by
Bo Thidé
Uppsala, Sweden
All rights reserved.
ic Field Theory
ISBN X-XXX-XXXXX-X
CONTENTS
Preface xi
1 Classical Electrodynamics 1
Electrostatics . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Coulomb’s law . . . . . . . . . . . . . . . . . . . . . . . 1
The electrostatic field . . . . . . . . . . . . . . . . . . . . 2
ostatics . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Ampère’s law . . . . . . . . . . . . . . . . . . . . . . . . 5
The ostatic field . . . . . . . . . . . . . . . . . . . 6
Electrodynamics . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Equation of continuity . . . . . . . . . . . . . . . . . . . 9
Maxwell’s displacement current . . . . . . . . . . . . . . 9
Electromotive force . . . . . . . . . . . . . . . . . . . . . 10
Faraday’s law of induction . . . . . . . . . . . . . . . . . 11
Maxwell’s microscopic equations . . . . . . . . . . . . . 14
Maxwell’s macroscopic equations . . . . . . . . . . . . . 15
ic Duality . . . . . . . . . . . . . . . . . . . . . . 16
Example Duality of the odynamic equations . 17
Example Maxwell from Dirac-Maxwell equations for a fixed
mixing angle . . . . . . . . . . . .