Electrodynamics

362 Pages·1986·29.003 MB·English

by  Yu. Novozhilov , Yu. A. Yappa

ELECTRO -
DYNAMICS
Yu. Novozhilov and Yu. A. Yappa
MIR
PUBLISHERS
MOSCOW
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ELECTRODYNAMICS
Yu. V. Novozhilov
and Yu. A. Yappa
Translated from the Russian by
v.
I. Kisin
Mir Publishers · Moscow
First published 1981
Second printing 1986
TO THE READER
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comments on the content, translation and
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We would also be pleased to receive any
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Mir Publishers
2 Pervy Rizhsky Pereulok
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© English translation, Mir Publishers, 198t
CONTENTS
Preface .to the Russian Edition . 7
Preface to the English Edition . 9
Notation 10
Chlpter t. The Blslcs of Maxwell's Electrodynamics. • • . . . . . . 13
§ 1. The Maxwell equations. Electromagnetic units . . . . . . . 13
§ 2. The potentials of the electromagnetic field. Gauge invariance.
Hertz vectors . . . . . . . . . . . . . . . . . . . . ~ . 27
§ 3. Lawsgoverningthe variationofenergy,momentum;and angular
momentum . 33
§ 4. Properties of the Maxwell equations. Uniqueness of the solu
tion in bounded regions. Boundaryconditions at the interface
between two media . . . . . . . . . . . . . . . . . . • 38
Chapter 2. ReletlvlstlcElectrodynamics 45
§ 5. The principleofrelativity. Lorentztransformations, and relat
ivistic kinematics . . . . . . . . . . . . . . . . . . . 45
§ 6. Relativistic particle dynamics . . . . . . . . . . . . .. 55
§ 7. The re~ativistic Maxwell equations. The field strength. trans-
formattons ............••........ 59
§ 8. Relativistic equations of charge motion . . . . . . . . . 69
§ 9*. Variational principle for electromagnetic field . . . . . . 75
§ 10*. The Noether theorem. Relativistic differential and integral
conservation laws for electromagnetic fields . . . . . . . 81
Chepter 3.·Stllllc Fields. Solution of the W.ve Eq on. aadldon Field 90
§ 11. Electrostatic field . 90
§ 12. Magnetostatic field generated by currents . • . . . . . • 98
§ 13. Solution of the nonhomogeneous wave equation. The Lie-
nard-Wiechert potentials . . . . • • • • • . . . . . . • 103
§ 14. Field strength around a pointlike charge. Radiation field.:
Uniform linear motion of a charge • • • • • • • . . . ito
§ 15*. Relativistic law of energy-momentum conservation for the
electromagnetic field of a pointlike charge • . . . . . 116
§ 16. Energy radiated by a moving charge • • • . . . . . . . . 123
§ 17. Emission from bounded oscillating sources • . . . . . 131