Classical Charged Particles

Preface, 3rd edn. (2007)......Page 4
contents......Page 6
1.1 The nature and aim of theory in physics......Page 11
1.2 The hierarchy of theories......Page 13
1.3 Presentation of cl. thy. charged ptcls......Page 16
2.1 Before Lorentz......Page 18
2.2 The work of Lorentz and Abraham......Page 21
2.3 The impact of relativity......Page 26
2.4 Attempts at modification...point charges......Page 28
3.1 Reference frames......Page 36
3.2 The Euclidean group......Page 37
3.3 Force and the law of inertia......Page 38
3.4 Galilean invariance......Page 40
3.5 Inertial frames of reference......Page 41
3.6 Lorentz invariance......Page 42
C. The Principle of Equivalence......Page 45
3.7 Three kinds of mass......Page 46
3.8 Free fall......Page 47
3.9 Fictitious forces & apparent grav. fields......Page 49
3.10 Einstein's Principle of Equivalence......Page 51
3.11 Experimental confirmation......Page 52
3.12 Local inertial frames......Page 53
3.13 Gravitational forces & space curvature......Page 55
3.14 Mach's principle......Page 57
3.15 Causality......Page 60
3.16 Initial-val prob, Newtonian interxns.......Page 62
3.17 Conservation laws......Page 64
4.1 Lorentz's microscopic theory......Page 71
4.2 Free electromagnetic fields......Page 73
4.3 Potentials and gauges......Page 75
4.4 Solenoidal form, Maxwell-Lorentz eqns......Page 78
4.5 Covariant form,  Maxwell-Lorentz eqns......Page 80
4.6 Covariant soltn of source-free eqns......Page 84
4.7 The potentials......Page 87
4.8 The field strengths......Page 93
C. The Conservation Laws......Page 95
4.9 Lagrangian & invariance under translations......Page 96
4.10 ...proper homogeneous Lorentz xformtns......Page 104
4.11 Gauge invariance......Page 112
4.12 Conformal invariance......Page 114
5.1 Momentum and energy of radiation......Page 116
5.2 Local criterion for radiation......Page 123
5.3 Radiation from unif. accelerated charges......Page 124
5.4 Synchrotron radiation......Page 131
6.1 The Abraham-Lorentz-Poincare model......Page 133
6.2 Charged particles without structure......Page 137
6.3 The relativistic Lorentz electron......Page 139
6.4 The asymptotic conditions......Page 144
6.5 Deductions: Max-Lor eqns & conservation laws......Page 147
6.6 The equations of motion......Page 155
6.7 Physical meaning, eqns. of motion......Page 159
6.8 Properties of the solutions......Page 163
6.9 The action principle......Page 167
6.10 The free particle......Page 178
6.11 Uniform acceleration......Page 179
6.12 The intrinsic orbit geometry......Page 183
6.13 The pulse......Page 186
6.14 The oscillator......Page 189
6.15 Coulomb force problems......Page 192
7.1 Systems of >1 charged particle......Page 198
7.2 Action at a distance......Page 204
7.3 The test charge......Page 206
7.4 Charged particles with structure......Page 207
7.5 Point particles with spin......Page 214
8.1 The nonrelativistic approximation......Page 219
8.2 The limit to neutral particles......Page 223
8.3 Pr. of equivalence for charged ptcls?......Page 225
8.4 General relativity......Page 229
8.5 Nonrelativistic quantum mechanics......Page 234
8.6 Relativistic quantum mechanics......Page 239
8.7 Quantum electrodynamics......Page 247
9.1 Radiatn., Coulomb & other EM fields......Page 251
9.2 Symmetry properties of the theory......Page 254
9.4 The structure of the theory......Page 260
9.5 The theory in its larger context......Page 261
S.A Theory......Page 267
S.B Applications......Page 270
S.R Annotated references......Page 273
Appendices......Page 275
A1.1 Derivation of Lorentz xformtn......Page 277
A1.2 Lorentz xformtns & space rotns......Page 280
A1.3 The Lorentz groups......Page 284
A1.4 Proper time and kinematics......Page 285
A1.5 Spacelike planes......Page 289
A1.6 Light-cone surface elt.......Page 292
A2.1 Generalizing Minkowski space......Page 294
A2.2 The covariant derivative......Page 297
A2.3 Parallelism & curvature tensor......Page 299
A2.4 Geodesics......Page 301
A2.5 Riemann vs. Minkowski space......Page 303
Indices......Page 307
Author index......Page 309
Subject index......Page 311
Spohn 2004 EurJPhys Lorentz-Dirac......Page 316
Rohrlich 2006 AmJPhys Time......Page 322
Rohrlich 2001 PhilSci Realism......Page 325