| Preface |
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ix | |
| Introduction |
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xv | |
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Classical Theory of Synchrotron Radiation |
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1 | (58) |
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Electromagnetic Fields of Relativistic Charge |
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1 | (4) |
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The Wave Zone and Covariant Definition of Radiation |
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5 | (4) |
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Angular Distribution of Instantaneous Radiation Power |
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9 | (7) |
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Linearly Polarized SR and Its Angular Distribution |
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16 | (6) |
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Electron Radiation in a Uniform Magnetic Field |
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22 | (3) |
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Spectral-Angular Distribution and Circular Polarization of SR |
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25 | (12) |
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25 | (3) |
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Fourier-Components of Radiation Fields |
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28 | (2) |
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30 | (3) |
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33 | (2) |
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35 | (2) |
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SR of the Ultrarelativistic Electron |
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37 | (13) |
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Radiation of the Ultrarelativistic Charge as SR |
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37 | (2) |
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Angular Distribution and Linear Polarization of Radiation |
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39 | (1) |
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Spectral Composition and the Circular Polarization of Radiation |
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40 | (6) |
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Schwinger's Approximation |
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46 | (2) |
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Limits of Validity of the Classical Theory |
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48 | (2) |
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Coherence Properties of SR |
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50 | (9) |
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55 | (4) |
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Spin Properties of Relativistic Particles |
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59 | (62) |
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Spin Kinematics in the Classical and Quantum Theories |
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59 | (7) |
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Physical Interpretation of the Spin Operators |
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66 | (6) |
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Classical Spin Equations of Motion |
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72 | (4) |
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Quasi-Classical Theory of Spin |
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76 | (4) |
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Spin in the Quantum Theory with the Definite Evenness of Operators |
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80 | (9) |
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Frenkel-Corben Classical Spin Equations |
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89 | (5) |
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Some Exact Solutions of the Spin Equations of Motion |
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94 | (17) |
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95 | (6) |
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Electron in a Constant and Uniform Magnetic Field |
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101 | (3) |
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104 | (4) |
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Classical Interpretation of Spin-Flip Transitions |
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108 | (3) |
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Spin Integrals of Motion and Invariant Description of Spin States in the External Electromagnetic Field |
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111 | (10) |
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116 | (5) |
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Quantum Theory of Synchrotron Radiation |
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121 | (58) |
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Scalar Particles in a Magnetic Field. Klein-Gordon Equation |
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121 | (3) |
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Electron in a Magnetic Field. Dirac Equation |
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124 | (4) |
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Solution of the Dirac Equation for an Electron with a Definite State of Spin Polarization |
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128 | (4) |
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Longitudinally Polarised Electron |
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128 | (1) |
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Vector Operator of Transverse Polarization |
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129 | (1) |
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Tensor Operator of Transverse Polarization |
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130 | (1) |
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Radial Projection of the Spin |
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131 | (1) |
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Matrix Elements of the Dirac Matrices. Some Properties of Laguerre Functions |
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132 | (4) |
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Qualitative Estimations for Manifestation of Quantum Effects in SR |
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136 | (3) |
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Quantum Effects in Radiation of a Nonrelativistic Electron |
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139 | (2) |
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Mathematical Features of the Problem of Radiation of Ultrarelativistic Particles |
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141 | (1) |
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Calculation of Angle Integrals |
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142 | (2) |
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Calculation of Integrals over Spectrum. Functions Lμ and Dμ |
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144 | (6) |
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Radiation of the Electron with the Longitudinally Polarized Spin |
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150 | (10) |
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Radiation of the Electron with a Spin Oriented to the Magnetic Field |
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160 | (3) |
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Radiation of a Spinless Particle in a Magnetic Field |
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163 | (2) |
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Characteristic Features of Electron Radiation in a Magnetic Field |
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165 | (6) |
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Radiative Self-Polarization of an Electron Spin |
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171 | (1) |
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Radiation of Uncharged Particles with Magnetic and Electric Moments Moving in Uniform Stationary Electromagnetic Fields |
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172 | (7) |
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176 | (3) |
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179 | (58) |
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179 | (2) |
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Classical Theory of +Radiation |
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181 | (11) |
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Equations of an Electromagnetic Field |
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181 | (3) |
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Potentials and Fields of a Relativistic Magneton |
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184 | (3) |
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Wave Zone and Radiation Field |
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187 | (1) |
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Total Radiation Power in a Uniform Motion of a Magneton |
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188 | (4) |
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Radiation of the Relativistic Magnetic Moment in Uniform Fields |
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192 | (15) |
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Angular Distribution and Frequency of Radiation |
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193 | (5) |
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Linear and Circular Polarization of the Radiation |
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198 | (4) |
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202 | (2) |
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Spectral Composition of the Radiation |
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204 | (3) |
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Relativistic Semiclassical Radiation Theory |
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207 | (5) |
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Recoil Effects and Mixed eμ-Radiation |
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212 | (5) |
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Mixed eμL- and eμTh-Radiation of Relativistic Electron |
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217 | (4) |
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The Structure of Quantum Corrections to SR |
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221 | (5) |
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`True' Magnetic Moment Radiation |
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226 | (11) |
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232 | (5) |
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237 | (72) |
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237 | (15) |
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237 | (4) |
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Spectrum and Angular Distribution |
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241 | (5) |
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246 | (4) |
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Radiation of an Infinite Undulator |
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250 | (2) |
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252 | (23) |
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Radiation in a Small k Limit |
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252 | (6) |
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Radiation in a Large k Limit |
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258 | (6) |
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264 | (4) |
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Quantum Effects in Wiggler Radiation |
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268 | (7) |
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An Undulator with the Sinusoidal Magnetic Field |
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275 | (17) |
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A Double-Frequency Undulator |
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275 | (5) |
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An Undulator with the Sinusoidal Magnetic Field |
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280 | (3) |
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Radiation in a Small k Limit |
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283 | (1) |
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Radiation in a Large k Limit |
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284 | (8) |
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Radiation of a Harmonic Oscillator |
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292 | (17) |
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292 | (5) |
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A Transversal Harmonic Oscillator |
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297 | (2) |
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A Longitudinal Harmonic Oscillator |
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299 | (3) |
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302 | (4) |
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306 | (3) |
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Radiation in Special Electrodynamical Systems |
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309 | (38) |
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309 | (1) |
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Radiation of Electrons Moving in an Arc of a Circle |
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310 | (16) |
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310 | (2) |
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Angular Distribution of Radiation |
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312 | (3) |
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Generation of the Low-Frequency Radiation |
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315 | (3) |
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High-frequency Asymptotics of Spectrum |
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318 | (1) |
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Radiation of a Nonrelativistic Electron |
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319 | (1) |
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Radiation in Case of Integral Number of Revolutions |
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320 | (1) |
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Representation of Spectrum in Terms of Two-Dimensional Integrals |
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321 | (5) |
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Numerical Analysis of Spectrum |
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326 | (1) |
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Radiation in a `Short Magnet' |
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326 | (11) |
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Inverse Problem of Radiation |
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337 | (10) |
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343 | (4) |
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Synchrotron Radiation in a Strong Magnetic Field |
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347 | (38) |
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347 | (4) |
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Quantum Theory of Radiation at Small + |
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351 | (23) |
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Semiclassical Approximation |
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351 | (2) |
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Macroscopic Quantum Fluctuations of an Electron Trajectory |
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353 | (3) |
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Self-Polarization of Electrons and Positrons in Storage Rings |
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356 | (1) |
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Ultraquantum Aspects of SR (``Magnetic Bremsstrahlung'') |
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357 | (7) |
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SR of Relativistic Electrons and their Quantum Transitions to the Ground State |
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364 | (10) |
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Dynamical Nature of the Anomalous Magnetic Moment of an Electron |
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374 | (11) |
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379 | (1) |
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Ultrastrong Magnetic Field |
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380 | (2) |
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382 | (3) |
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Synchrotron Radiation in Astrophysics |
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385 | (59) |
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385 | (1) |
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SR Spectra of Extraterestial Sources |
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386 | (4) |
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Accretion of Magnetized Gas into a Black Hole |
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390 | (8) |
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Spherically Symmetric Accretion |
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390 | (4) |
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Accretion at an Ordered Magnetic Field |
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394 | (4) |
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SR in Radio-Galactics, Quasars and Extragalactic Jets |
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398 | (13) |
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SR Self-absorption and Estimation of a Size of a Source |
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399 | (4) |
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SR in Extragalactic Jets; Magnetic Collimation and Particle Acceleration |
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403 | (8) |
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Magnetized Neutron Stars: Radio and X-ray Pulsars |
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411 | (13) |
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Radio Pulsars; Coherent SR |
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411 | (5) |
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Accretion into Neutron Stars: Strong X-ray Sources |
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416 | (8) |
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SR from Supernovae and Supernova Remnants |
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424 | (13) |
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Radio Emission From Supernovae |
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427 | (6) |
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Radio Emission of Supernova Remnants |
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433 | (4) |
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437 | (7) |
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439 | (5) |
| Index |
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444 | |
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