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| Jackson J.D. — Classical electrodynamics |
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| Предметный указатель |
"Magnetic" waves 359 430
4-current 554
4-divergence 543
4-Laplacian 543
4-tensors of rank k 540—541
4-vector potential 555
4-vector, contravariant and covariant, definitions of 540—541
4-velocity, of particle 532
Abraham — Lorentz equation of motion 748
Abraham — Lorentz equation of motion, Dirac's relativistic generalization of 771
Abraham — Lorentz equation of motion, workable approximation to 749 772
Abraham — Lorentz model of electron 750 see
Abraham — Lorentz model of electron, difficulties with 754—755
Abraham — Lorentz model of electron, form factor in 754
Absorption coefficient, definition 310
Absorption coefficient, definition of ideal gas 466
Absorption coefficient, definition of liquid water as a function of frequency 315
Absorption coefficient, definition of sea water at low frequencies 315
Absorption, resonant 310
Absorption, resonant by oscillator 655 768
Absorption, resonant of radiation, by earth's atmosphere 467
Acceleration fields of charge in arbitrary motion 664
Acceleration, relativistic transformation of 569
Action, Lorentz invariance of 580
Addition of velocities, relativistic 530f
Addition theorem for spherical harmonics 110—111
Adiabatic invariance, of flux through particle's orbit 592f
Adiabatic invariance, of flux through particle's orbit of magnetic moment of particle 593
Admittance, field definition of 288
Advanced Green function for wave equation 245
Advanced Green function for wave equation, invariant expression for 613—614
Airy integrals, in terms of Bessel functions 678
Alfven velocity 321
Alfven waves 319f
Ampere's law 179
Angles of incidence, reflection and refraction 303
Angular distribution of radiation, from oscillating dipole 411 438 see "Multipole "Radiation"
Angular distribution of radiation, from oscillating quadrupole 415—416 438
Angular distribution of radiation, from relativistic accelerated charge 668f 678
Angular momentum density of the electromagnetic field, covariant form of the conservation law for 608 610
Angular momentum operator, L 428
Angular momentum operator, L and other vector differential operators, identities involving 428 432 441 472
Angular momentum operator, L and vector spherical harmonics 431
Angular momentum operator, L, commutation relations for 429
Angular momentum, electromagnetic of bound particle, slow change caused by radiation damping 750
Angular momentum, electromagnetic of multipole fields 432f
Angular momentum, electromagnetic, electromagnetic, expansion of, in plane waves 350
Angular momentum, electromagnetic, electromagnetic, of electric charge and magnetic monopole 277
Angular momentum, electromagnetic, in circularly polarized plane wave 350
Angular momentum, electromagnetic, rate of radiation of, by oscillating electric dipole 451—452
Anomalous dispersion 310
Anomaly, of magnetic moment of electron and muon 565
Antenna in wave guide 392 404 405
Antenna, as a boundary-value problem 418
Antenna, center-fed, linear 416f
Antenna, linear, radiation from in terms of multipoles 444f
Antenna, radiation resistance of 412
Antenna, short, linear 412
Aperture in wave guide or cavity, effective dipole moments of 421f
Arrival of a signal in a dispersive medium 335f
Associated Legendre functions 108
Attenuation coefficient see "Absorption coefficient"
Attenuation length, for visible light in the atmosphere 467
Attenuation, in optical fibers 470—471
Attenuation, in optical fibers in resonant cavities 371f
Attenuation, in optical fibers in wave guides 363f
Attenuation, in optical fibers, boundary conditions 366f 374 401—402
Attenuation, in optical fibers, Rayleigh scattering limit for 470
Averaging procedure, to define macroscopic fields 249 253
Axial vector, definition of 270
Azimuthal symmetry, potential problems with 101f
Babinet's principle 488f
Bessel equation 112
Bessel functions 112f
Bessel functions of first kind,  113
Bessel functions of second kind,  113
Bessel functions of third kind,  ,  113
Bessel functions, connection with Airy integrals 678
Bessel functions, dual integral equations involving 132 205
Bessel functions, expansions involving 115 118 119 126 138 140 141 702 705
Bessel functions, Fourier transforms of  and  656
Bessel functions, Fourier — Bessel series 115 138
Bessel functions, Fourier-spherical Bessel series 119
Bessel functions, integral relations involving 118 126 132 140 142 205 493
Bessel functions, integral representation of 140
Bessel functions, Kapteyn series of 116 702 705
Bessel functions, leading behavior for large and small arguments 114 116 427
Bessel functions, limiting forms 427
Bessel functions, modified,  ,  116
Bessel functions, Neumann series of 116
Bessel functions, orthogonality, on finite interval 114—115 138
Bessel functions, orthogonality, on infinite interval 118 140
Bessel functions, recursion formulas 113 427
Bessel functions, Schlomilch series of 116
Bessel functions, series for 113
Bessel functions, spherical 426—427
Bessel functions, Wronskians 427
Bessel functions, zeros of  370
Bessel functions, zeros of  114
Beta decay, emission of radiation during 730f
Bethe — Heitler formula for bremsstrahlung 717 719
Bibliography 785f
Biot and Savart law 175f
Biot and Savart law Jefimenko generalization of 247
Birefringence of the ionosphere 317
Bistatic cross section, definition of 457
Blue sky, Rayleigh's explanation of 465f
BMT equation for spin 561f
Boost parameter, relativistic 526
Born approximation, in scattering 464—465
Born — Infeld nonlinear electrodynamics 10
Bound states in wave guides 405—406
Boundary conditions, at interface between media 18 154 194
Boundary conditions, at interface between media at surface of, good conductor 353
Boundary conditions, at interface between media for dielectric wave guide 388—389
Boundary conditions, at interface between media for TE and TM waves in wave guide 359
Boundary conditions, at interface between media, Cauchy, Dirichlet, and Neumann 37—38
Boundary conditions, at interface between media, inconsistency in Kirchhoff's approximation for diffraction 480
Boundary conditions, at interface between media, mixed, example of 129f 205
Boundary conditions, at interface between media, perturbation of 366f 374 401—402
Boundary conditions, at interface between media, scatterer, in terms of surface impedance 475
Boundary-value problems, Green function method of solution 38f see "Resonant "Wave
Boundary-value problems, Green function method of solution in cylindrical coordinates 117f
Boundary-value problems, Green function method of solution in dielectrics 154f
Boundary-value problems, Green function method of solution in magnetostatics, methods of solving 194f
Boundary-value problems, Green function method of solution in rectangular coordinates 70f
Boundary-value problems, Green function method of solution in spherical coordinates 95f
Boundary-value problems, Green function method of solution in two dimensions 72f
Boundary-value problems, Green function method of solution, image method of solution 57f
Breit interaction 598
Bremsstrahlung 714f
Bremsstrahlung as scattering of virtual quanta 729—730
Bremsstrahlung at low frequencies 711
Bremsstrahlung in Coulomb collisions 714f
Bremsstrahlung, angular distribution of 712
Bremsstrahlung, Bethe — Heitler formula for 717 719
Bremsstrahlung, classical 716
Bremsstrahlung, frequency spectrum 716 717 719
Bremsstrahlung, inner 732
Bremsstrahlung, maximum effective momentum transfer in 713 715 718
Bremsstrahlung, nonrelativistic 717—718
Bremsstrahlung, polarization of 712
Bremsstrahlung, relativistic 718f
Bremsstrahlung, screening effects in 721f
Brewster's angle 306—307
Brillouin precursor 338
Canonical stress tensor 605—606
Canonical stress tensor for electromagnetic fields 606
Capacitance, definition of 43
Capacitance, definition of, variational principles for 53
| Capacitance, of a circular disc, Cavendish's value for 19
Cauchy boundary conditions 38
Causal connection between  and  332
Causal Green function 614
Causality 330f
Causality in Coulomb gauge 242 291
Causality in Special Relativity 528
Causality, consequences in dispersion 334
Causality, lack of, with radiation reaction 748 772
Cavendish's apparatus for inverse square law 6—7
Cavity, resonant see "Resonant cavity"
Center of mass, of electromagnetic energy 622
Center of mass, of electromagnetic energy, relativistic kinematics of 575
Characteristic time, in radiation damping 746
Charge conservation 175 238 777
Charge density, and current density as 4-vector 554
Charge density, and current density as 4-vector and current density of charged particle, covariant expression for 615
Charge density, and current density as 4-vector at sharp corners, edges, and points 78 106—107
Charge density, and current density as 4-vector at surface of conductor, quantum-mechanical 21
Charge density, and current density as 4-vector, effective magnetic 196—197
Charge density, and current density as 4-vector, induced by point charge near conducting sphere 59
Charge, discreteness of 4—5
Charge, discreteness of in uniform motion in vacuum, fields of 559—560
Charge, discreteness of, electric 25
Charge, discreteness of, electronic and protonic, equality of magnitudes 554
Charge, discreteness of, invariance of 554
Charge, discreteness of, quantization of, according to Dirac 275f
Charge, discreteness of, radiation emitted by sudden creation or disappearance of, in beta processes 730f 732f
Charged particle, dynamics 579f see
Charged particle, dynamics in uniform static magnetic field 585
Charged particle, dynamics, classical model of 759f
Charged particle, dynamics, different contributions to mass 761—762
Charged particle, dynamics, Lorentz force on 3 260 579
Charged particle, dynamics, motion, in nonuniform magnetic fields 588f
Charged particle, dynamics, Poincare stresses in 755—757 760f
Charged particle, dynamics, stability and covariance of energy and momentum 762—763
Cherenkov angle 638
Cherenkov radiation 637f
Circular current loop, fields of 181f
Classical electron radius 604 695 755
Classical limit, of angular momentum in multipole fields 435
Classical limit, of angular momentum in multipole fields of electromagnetic fields 3—4
Clausius — Mossotti relation 162
Closure see "Completeness"
Coherence volume in transition radiation 649
Coherence, of scattering by collection of scattering centers 461—462
Collision time, for fields of relativistic particle 560
Collisions, Coulomb, energy loss in 625f
Collisions, Coulomb, energy loss in, radiation emitted during 709f
Commutation relations, for infinitesimal Lorentz transformation generators 548
Commutation relations, for infinitesimal Lorentz transformation generators of angular momentum operator, L 429
Complementary screen, definition of 488
Completeness relation 68
Completeness relation for Bessel functions on infinite interval 119 140
Completeness relation for complex exponentials 70 125
Completeness relation for spherical harmonics 108
Completeness, of set of orthogonal functions 68
Compton effect, modification of Thomson scattering by 696—697
Conduction in a moving medium 320 572
Conductivity, effect of, on quasistatic fields 218f
Conductivity, effect of, on quasistatic fields, relation to complex dielectric constant 312
Conductor, attenuation in 313
Conductor, attenuation in, boundary conditions at 352f
Conductor, attenuation in, definition of 50
Conductor, attenuation in, diffusion of fields in 221f
Conductor, attenuation in, fields at surface of 352f
Conductor, attenuation in, fields inside 220 354
Conductor, attenuation in, penetration or skin depth in 220 354
Conductor, attenuation in, surface impedance of 356
Conical hole or point, fields near 104f
Conservation, of angular momentum of particles and fields 288
Conservation, of charge and current 3 175 238 777
Conservation, of electromagnetic angular momentum, in covariant form 608
Conservation, of energy of particles and fields 258f 611
Conservation, of field energy and momentum, in covariant form 607 609
Conservation, of momentum of particles and fields 260 611
Constitutive relations 14
Continuity equation, for charge and current 3 175 238 777
Continuity equation, for charge and current, for electromagnetic energy flow 259
Continuity equation, for charge and current, in covariant form 555 610
Continuity equation, for charge and current, in dissipative media 264
Continuity, at interface, of tangential and normal  18
Contraction of length see "FitzGerald — Lorentz contraction"
Contravariant vector, definition of 540
Convective derivative, in Faraday's law 210
Convective derivative, in Faraday's law, in fluid flow 320
Conversion table, for equations in Gaussian and SI units 782
Conversion table, for equations in Gaussian and SI units, for given amounts in Gaussian and SI units 783
Correspondence principle of Bohr 704
Coulomb gauge, definition of 241
Coulomb gauge, definition of, and causality 242 291
Coulomb's law 24
Coulomb's law, Jefimenko's generalization of 246f
Coupling constant, running 12
Covariance, of electrodynamics under Lorentz transformations 553f
Covariance, of electrodynamics under Lorentz transformations, of physical laws under Lorentz transformations 517 540
Covariant expressions, for electromagnetic energy and momentum 757f
Covariant expressions, for equation of motion for spin 561f
Covariant expressions, for Lorentz force equation 557 580
Covariant expressions, for Maxwell equations 557
Covariant expressions, for radiative reaction force 771
Covariant vector, definition of 541
Critical frequency, as upper limit of frequency spectrum of radiation emitted by relativistic particle 673 679
Critical opalescence 469—470
Cross section, Bethe — Heitler, for bremsstrahlung 717
Cross section, classical particle scattering, relation to impact parameter 655
Cross section, classical, for bremsstrahlung 716
Cross section, definition of, for scattering of electromagnetic waves 457 694
Cross section, for scattering, and absorption of radiation by harmonically bound charge 766f
Cross section, for scattering, by large conducting sphere 499—500
Cross section, for scattering, by small conducting sphere 460 477
Cross section, for scattering, by small dielectric sphere 458—459
Cross section, Rutherford 625 714
Energy conservation between particles and fields 258f 610—611
Energy density, electromagnetic 259
Energy density, electromagnetic, effective, in dissipative media 263
Energy density, electromagnetic, electromagnetic, as (0,0) element of symmetric stress tensor 609
Energy density, electromagnetic, electrostatic 40f
Energy flow 259
Energy flow, in wave guide 363f
Energy flow, velocity of 323 325
Energy loss, Bethe's quantum-mechanical formula for 627
Energy loss, Bethe's quantum-mechanical formula for, Bohr's classical formula for 627
Energy loss, Bethe's quantum-mechanical formula for, by magnetic monopole 658
Energy loss, Bethe's quantum-mechanical formula for, density effect in 631f
Energy loss, Bethe's quantum-mechanical formula for, fluctuations in 631
Energy loss, Bethe's quantum-mechanical formula for, in collisions, relativistic 723—724
Energy loss, Bethe's quantum-mechanical formula for, in electronic plasma 656—657
Energy loss, Bethe's quantum-mechanical formula for, per revolution in circular orbit 667
Energy loss, Bethe's quantum-mechanical formula for, radiative, in collisions, nonrelativistic 718
Energy radiated, by accelerated charge, angular and frequency distribution of 673f
Energy radiated, by accelerated charge, angular and frequency distribution of, by accelerated magnetic moment, angular and frequency distribution of 704
Energy transfer, in Coulomb collision 625f
Energy transfer, in Coulomb collision, reconciliation of classical and quantum 630
Energy transfer, in Coulomb collision, to harmonically bound charge 655
Energy, electrostatic potential 40f
Energy, electrostatic, in dielectric media 165f
Energy, hyperfine interaction 190—191
Energy, magnetic 212f
Energy, of magnetically permeable body 214
Energy, relativistic, of a particle 537—538
Energy, self- 42 754
Energy-level shift due to radiative reaction 763f
Energy-momentum 4—vector 538
Equations of motion with radiative reaction 748—750 771—772
Ether 515
Ether drift experiments 519—522
Evanescent modes in wave guide 360
Excitation of waves in wave guide, by localized source 392f 419f
Expansion, of  , in cylindrical coordinates 126 140
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