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Schott G.A. — Electromagnetic radiation
Schott G.A. — Electromagnetic radiation

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Название: Electromagnetic radiation

Автор: Schott G.A.

Аннотация:

THE subject proposed for the Adams Prize in 1908 was "The Radiation from Electric Systems or Ions in Accelerated Motion and the Mechanical Reactions on their Motion which arise from it." This also happened to be the subject-matter of several investigations which I had carried out from time to time as preliminaries to a number of papers published in the Philosophical Magazine and other journals; advantage was taken of the opportunity then afforded to collect these investigations together and to extend them. The time available for this purpose however proved to be too short for a full treatment of the whole subject; while Radiation was discussed pretty fully, the Mechanical Reactions had to be dismissed very briefly. During the interval which has elapsed since the award of the prize in 1909, the treatment of the latter part of the subject has been extended so as to complete the original program; I venture to hope that there has been sufficient improvement in the essay to justify the delay in publication which has arisen.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1912

Количество страниц: 330

Добавлена в каталог: 05.04.2011

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Предметный указатель
"Relatiftheorie"      vii 28 90 281
"Relatiftheorie", Abraham’s objection to the      xiii
$\beta$-particle, its energy      vi
$\beta$-particle, its motion in a uniform electrostatic field      181
Abraham      ix xiii 173 175 176 178 246
Abraham electron      xiv 255
Abraham electron, its electromagnetic mass      175
Abraham electron, its kinetic energy      178
Accelerated motion of the electron      see "The particular motion"
Acceleration of the electron, determines the radiation      8 177
Acceleration of the electron, its effect on the pressure and configuration      xiv 269
Acceleration of the electron, its relation to the Postulate of Relativity      281
Acceleration of the electron, its relation to the Postulate of the second order determines the radiation pressure      246
Activity of the forces on the electron      176
Activity of the forces on the electron, internal      251
Activity of the forces on the electron, relative      252
Aether, disturbing effect of the structure of an electric charge is confined to its immediate vicinity      1
Aether, energy of the      5
Aether, hypothesis      vii
Aether, use of the Aether in preserving the electron      263
Angular momentum of the Lorentz electron      286 293 297 315 317
Aperiodic motions      149
Assumptions, of the electron theory      1 14 173
Assumptions, of the mechanical explanation of the electron      262
Assumptions, of the present essay      vii
Assumptions, of the relative motion of the electron      235
Asymmetry, of intensity in the Zeeman effect      146
Asymmetry, of radiation in the Doppler effect      198
Asymmetry, of the deformed Lorentz electron      xvi 258
Asymmetry, of the electron, its effect on the electromagnetic momentum      246
Asymmetry, of the electron, its effect on the electromagnetic momentum and on the steady motion of a ring      192
Asymptotic formula of Duhamel      108
Bessel functions, addition theorem      109
Bessel functions, asymptotic formula of Duhamel      108
Bessel functions, Gegenbaur’s theorem      20
Bessel functions, integral formulae for      109 136 158
Bessel functions, Kapteyn series of Bessel functions for the radiation from a ring      110 138
Bessel functions, Kapteyn series of Bessel functions for the radiation from a ring and for the mechanical forces      187 212 216 224
Bessel functions, products of Bessel functions in the potentials and forces at a distance due to polyperiodic motions      114 115 117
Bessel functions, series of Bessel functions for the potentials and forces at a distance due to periodic and pseudoperiodic motions      107 108 120 123 132 133 134 138 140 163 164
Bessel functions, summation formulae for      110 121 125 214
Bessel functions, the same for a circular ring near the circle      170 171
Bounding surface of the electron determined from the strain      243
Bucherer electron      xiv 255
Bucherer electron, its electromagnetic mass      175
Bucherer electron, its kinetic energy      178
Bucherer, his experiments on e/m      xv 181
Bucherer, their theory      302
Centre of the electron      155 236
Centro-symmetrical electron      247
Centro-symmetrical electron, its electromagnetic mass      175
Centro-symmetrical electron, its electromagnetic momentum      247
Characteristic curve      24
Characteristic curve, examples of      38 46 54 59 65 85
Characteristic curve, general discussion of      88
Characteristic equation      22
Characteristic equation, examples of      38 41 64 84
Characteristic equation, its geometrical interpretation      29
Charge, specific charge of the electron, Bucherer      181 302
Charge, specific charge of the electron, Kaufmann      299
Charge, specific charge of the electron, new method      299
Charge, specific charge of the electron, Wolz      181
Circular motion of an electron, disturbed      179
Circular motion of an electron, disturbed, distant field due to      126
Circular motion of an electron, disturbed, distant field due to, special case of axial oscillations      132
Circular motion of an electron, disturbed, distant field due to, special case of orbital oscillations      129
Circular motion of an electron, disturbed, equations of      180
Circular motion of an electron, disturbed, field of disturbed circular motion of an electron near the circle      200
Circular motion of an electron, uniform      179
Circular motion of an electron, uniform, distant field of      106 119
Circular motion of an electron, uniform, equations of      179
Circular motion of an electron, uniform, field due to uniform circular motion of an electron anywhere      83 105
Circular motion of an electron, uniform, field of uniform circular motion of an electron on the circle      168
Circular ring of electrons, distant field of      133
Circular ring of electrons, disturbed motion of      200
Circular ring of electrons, disturbing force on one of the electrons      206
Circular ring of electrons, equations of disturbed motion of      217 223
Circular ring of electrons, field due to circular ring of electrons anywhere      106
Circular ring of electrons, part due to the rest of the ring      209 217
Circular ring of electrons, part of the same due to the external field      218
Circular ring of electrons, radiation from      135
Circular ring of electrons, uniform motion of      186
Circular ring of electrons, uniform motion of, distant field of      108
Circular ring of electrons, uniform motion of, equations of uniform motion of      188
Circular ring of electrons, uniform motion of, mechanical force on one electron due to the rest      186
Circular ring of electrons, uniform motion of, radiation from      109
Compensated rays in Bucherer’s experiment      303
Complementary functions representing the effect of charges outside a given region      4
Continuity in general of potentials and forces      vii
Convergence of series      110 153 170 172 228 234 235
Conway      155
Cusp-locus      35
Cusp-locus, examples of      44 57 59 86
Cusp-locus, its geometry      36
De la Bive      22
Deformation of a moving electron under superficial pressure      269 277 281
Deformed Lorentz electron      xiv 258
Deformed Lorentz electron, its energy      261
Deformed Lorentz electron, its masses      260
Degrees of freedom      see "Freedom"
Density of nonelectromagnetic mass      263
Density, electric      see "Electric"
Density, the same a function of the potential and timealone      273
Descoudres      xi 61
Diffraction of X-rays      92
Discontinuities of a motion, their effect      xi 152
Discontinuities of the potentials for speeds greater than that of light      26
Distant field of a motion, allowable approximations      98
Distant field of a motion, calculation of      112
Distant field of a motion, examples of      99 106 111 128 156
Distant field of a motion, its forces      100 108 116 120 123 140 145 161
Distant field of a motion, its nature      101 108 116 134 141
Doppler effect, asymmetry of radiation in the      198
Doppler effect, change of frequency in the      196
Doppler effect, forces in the      194
Doppler effect, radiation in the      196
Doppler factor      22
Doppler factor, examples of      37 41 64 83
Duhamel      108
Einstein      28 90 196
Electric centre of the electron      155 236
Electric charge, assumed to be extended      viii ix 14 235 262
Electric charge, its structure without effect on its radiation      1 111
Electric density of volume changed by motion      267 272 276 280 281
Electric density, effect of a linear distribution of electric density on the potential of the electron      271
Electric density, Fourier integral expressions for      15
Electric density, surface electric density produced by acceleration of the electron      277
Electric force      see "Forces"
Electromagnetic energy of the electron      253 255 256 257 261
Electromagnetic energy of the field      5
Electromagnetic field of various motions      see "Forces" "Potentials" "Distant
Electromagnetic field, comparison of methods of calculation of the      92
Electromagnetic field, equations of the      2
Electromagnetic field, near a moving electric charge      227
Electromagnetic field, near its path      165
Electromagnetic field, sequence of events in the      31 47 55 61
Electromagnetic mass      249
Electromagnetic mass of various types of electron      175 255 256 257 260
Electromagnetic mass, ill defined for speeds near that of light      90
Electromagnetic momentum      12 175 246
Electromagnetic momentum of centro-symmetrical electron      247
Electromagnetic momentum, longitudinal in certain cases of symmetry      248
Electron theory, its equations      2
Electron theory, its fundamental assumptions      1
Electron, conditions of its invariability and uniformity      267 268 274 277
Electron, energy equation of the      176
Electron, its electromagnetic energy      253
Electron, its electromagnetic mass      175 249 278
Electron, its electromagnetic momentum      175 246
Electron, its energy relations      251
Electron, its internal pressure      263 266 273 277
Electron, its kinetic energy      177 254
Electron, its non-electromagnetic mass      263 267
Electron, its superficial pressure      12 267 278
Electron, mechanical explanation of the      x 262
Electron, non-electromagnetic energy of the      254
Electron, various types of      175 178 255 257 258
Electrons, ring of      see "Circular ring"
Electrostatic field, motion of a $\beta$-particle in a uniform      181
Elliptic motion      122
Elliptic motion, e/m, Bucherer      181 302
Elliptic motion, e/m, Kaufmann      299
Elliptic motion, e/m, new method      299
Elliptic motion, e/m, Wolz      181
Elliptic motion, its radiation      125
Energy, equation of energy for the electron      176
Energy, expression for the energy of the field      5
Energy, for the field      5
Energy, its verification for a point charge      6
Energy, Macdonald’s supplementary term in the energy on the mechanical theory      5
Envelope      see "Wave-envelope"
Epitrochoidal motion, of a group      142
Epitrochoidal motion, of an electron      140
Equation, of energy      see "Energy"
Equation, of Hamilton and Jacobi for the Lorentz electron      290
Equation, of pressure for the moving electron      263 272
Equations, of a circular ring, disturbed      223
Equations, of a circular ring, disturbed and uniform      188
Equations, of disturbed and uniform circular motion      179
Equations, of the electron      178
Equations, of the Lorentz electron, Hamiltonian      287
Equations, of the Lorentz electron, Lagrangian      284
Equations, of the Lorentz electron, Newtonian      284
Equilibrium forms of gravitating liquid, their application to the mechanical theory of the electron      xxii 268
Equipotential surfaces inside the electron in motion      267
Error made in neglecting the radiation pressure on a moving electron      183
Expansion of the electron steadies the motion of a circular ring      191
Expansions of the forces and potentials      see "Forces" "Potentials"
Expansions of the function U according to accelerations of increasing order      228
Expansions of the function V according to powers of the velocity      23
Explanation of the electron, mechanical      x 262
Expressions for the function V in finite terms      231
Extension of the electron      vii ix x 14 262
Field, a field symmetrical about an axis leads to an integral of angular momentum      286
Field, a steady field leads to an energy integral      291
Field, action of an external field on an electron      174 285
Field, action of an external field on an electron and on a circular ring      218
Field, electromagnetic field of a moving electric charge      see "Electromagnetic"
Force, equation of Larmor and Lorentz for the      viii 2 173
Force, its resolution      12
Force, mechanical force on the electron, external      174 185 235
Force, mechanical force on the electron, external and internal      175 235 245 250
Force, on one electron of a circular ring due to the rest      187 206 217
Force, on one element of an electron due to another      237 241
Force, resultant      9
Force, working expressions for the force in an electron      242
Forces, electric and magnetic forces due to moving electric charges, anywhere      18 23 66 73 97 112
Forces, electric and magnetic forces due to moving electric charges, at a distance      77 100 107 116 120 123 128 133 144 161 194
Forces, electric and magnetic forces due to moving electric charges, near the path      167 170 171 187 201 205
Forte-function of the Lorentz electron      293 296 314
Freedom, degrees of freedom of an electron and of a circular ring      226
Frequency, change of frequency in the Doppler effect      196
Frequency, equations of a ring of electrons      181 226
Function, force      see "Force"
Function, Hamiltonian      see "Hamiltonian"
Function, Lagrangian      see "Lagrangian"
Function, U      228
Function, V      230 242
Gegenbaur      20
Geometrical construction of the waveenvelope      34 see
Geometrical interpretation of the characteristic equation      29
Geometrical interpretation of the characteristic equation and of the point-laws      31
Geometrical representation of the field due to an electron moving in a uniform electrostatic field      66
Geometrical representation of the field due to an electron moving in a uniform electrostatic field and of the point-law potentials      33
Graf and Gubler      108
Gray and Mathews      109 157
Group of charges      102
Group of charges, its radiation reduced by interference      103
Haga      92
Hamilton and Jacobi, equation of Hamilton and Jacobi for the Lorentz electron      290
Hamiltonian equations of motion of the Lorentz electron      287
Hamiltonian equations of motion of the Lorentz function      287 290 293
Harmonic motion      see "Rectilinear motion"
Harmonic waves, of a circular ring disturbed      134
Harmonic waves, of a circular ring disturbed and in uniform motion      108
Harmonic waves, of a group      103
Harmonic waves, of a processing system      146
Harmonic waves, of a single electric charge      98 101 116 120 123 141
Heaviside ellipsoid      xiv 275
Herglotz      90
Hertz      vii 1 2
Indeterminateness of structure of a ring of electrons and its removal      xii 190
Integral of angular momentum of the Lorentz electron      286 293 297 315 317
Integral of energy      291 296 301 308
Integrals for forces and potentials      17 18 20 21 111 112
Intensity, of components in the Zeeman effect      146
Intensity, of radiation in the Doppler effect      196
jacobi      290
Kapteyn series of Bessel functions      110 138 187 212 224
Kapteyn series of Bessel functions, convergence of      110
Kapteyn series of Bessel functions, need for their study      vii
Kaufmann xv      299
Kirchhoff      4
Lagrangian equations for the Lorentz electron      284
Lagrangian function for the same      285 301
Lagrangian series for the potentials      xi 154
Laisant, hyperbolic cycloid of      307
Langevin      143
Larmor, Sir J.      vii viii ix x 2 3 5 122
Liapounoff      xxii
Lienard      8 22 24 110 175 251
Lindemann      16 21 28 89 175 227
Liquid, equilibrium forms of gravitating      xxii 268
Livens      175
Lorentz electron      257
Lorentz electron, its electromagnetic mass      175
Lorentz electron, its motion in a central electrostatic and uniform magnetic field      313
Lorentz electron, its pressure and structure      279
Lorentz electron, kinetic energy of the      178
Lorentz electron, Lorentz electron, energy difficulty of the      173 178
Lorentz electron, mechanics of the —      xiv 282
Lorentz electron, motion of the Lorentz electron in a uniform and steady electromagnetic field, with forces at any angle      308
Lorentz electron, motion of the Lorentz electron in a uniform and steady electromagnetic field, with forces at any parallel      296
Lorentz electron, motion of the Lorentz electron in a uniform and steady electromagnetic field, with forces at right angles      301
Lorentz electron, problems on the motion of the      295
Lorentz electron, special case of the electric force proportional to the radius      318
Lorentz electron, special case of the electric force proportional to the radius and its application to spectrum lines      323
Lorentz electron, special case of the electric force proportional to the radius and the Zeeman effect      322
Lorentz electron, the mechanical explanation of the electron leads to the      268 276 278
Lorentz, H.A.      vii viii ix x 2 4 5 28 173
Loria      183 298 306 307
Macdonald      5
MacLaren      xxii
Magnetic force      see "Forces"
Mass, electromagnetic      see "Electromagnetic"
Mass, non-electromagnetic      263 273
Maxwell      vii viii 2 3 9 126 187 215
Mechanical explanation of the electron      see "Explanation"
Mechanical force      see "Force"
Menoclinoid curve      183
Momentum      see "Electromagnetic"
Monoperiodic motion      95
Monoperiodic motion of variable amplitude      156
Monoperiodic motion, its distant field      101
Motions, various motions and their fields      see "The particular motion"
Nagaoka      91 172
Neumann’s addition theorem      109
Newtonian equations of motion for the Lorentz electron      283
Newton’s Second Law assumed      viii x 178 265
Newton’s Third Law fails for electrons      xiii 235 237
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