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1 General Laws of the Electromagnetic Field |
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1 | (14) |
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1 | (1) |
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1.2 Energy Transported by the Electric Field |
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2 | (1) |
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1.3 Momentum Transported by the Electromagnetic Field |
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3 | (2) |
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1.4 Electromagnetic Potentials |
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5 | (1) |
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6 | (2) |
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1.6 Solving Maxwell's Equations in Vacuum |
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8 | (3) |
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11 | (1) |
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1.8 Sinusoidal Plane Waves |
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12 | (3) |
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2 Spectrum and Polarisation |
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15 | (26) |
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2.1 Spectrum of the Radiation |
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15 | (4) |
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2.2 Spectra of Some Particular Pulse Shapes |
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19 | (2) |
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2.3 Spectra of Stochastic and Periodic Signals |
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21 | (4) |
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2.4 Diffraction Grating Spectroscope |
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25 | (5) |
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2.5 Polarisation of a Monochromatic Wave |
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30 | (4) |
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2.6 Spectropolarimetric Measurements |
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34 | (4) |
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2.7 Properties of the Stokes Parameters |
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38 | (3) |
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3 Radiation from Moving Charges |
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41 | (44) |
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3.1 Electromagnetic Potentials Due to Charges and Currents |
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41 | (5) |
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3.2 The Lienard and Wiechart Potentials |
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46 | (3) |
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3.3 The Electromagnetic Field of a Moving Charge |
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49 | (4) |
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3.4 Radiation from a Moving Charge |
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53 | (5) |
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58 | (2) |
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60 | (1) |
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61 | (7) |
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68 | (2) |
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3.9 Synchrotron Radiation |
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70 | (6) |
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3.10 Multipolar Expansion in the Radiation Zone |
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76 | (4) |
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3.11 Radiation Diagram for the Multipolar Components |
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80 | (5) |
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4 Quantisation of the Electromagnetic Field |
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85 | (14) |
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4.1 Harmonic Oscillator, Operators of Creation and Annihilation |
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85 | (4) |
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4.2 Expansion of the Electromagnetic Field in Fourier Series |
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89 | (3) |
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92 | (4) |
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4.4 Intensity and Photons |
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96 | (3) |
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5 Relativistic Wave Equations |
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99 | (20) |
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5.1 The Dirac Equation for a Free Particle |
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99 | (5) |
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5.2 The Dirac Equation for the Electron in an Electromagnetic Field |
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104 | (2) |
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5.3 Nonrelativistic Limit of the Dirac Equation |
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106 | (1) |
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5.4 Zero Order Limit, Pauli Equation |
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107 | (3) |
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110 | (2) |
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5.6 The Dirac Equation Describes a Particle of Spin 1/2 |
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112 | (3) |
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5.7 Solution of the Dirac Equation in a Magnetic Field |
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115 | (4) |
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6 Atoms with a Single Valence Electron |
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119 | (30) |
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6.1 Hydrogen Atom, Bohr Theory |
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119 | (7) |
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6.2 Schrodinger's Equation in Spherical Coordinates |
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126 | (7) |
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6.3 Hydrogen Atom, Quantum Theory |
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133 | (4) |
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6.4 Hydrogen Atom, Relativistic Corrections |
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137 | (6) |
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6.5 Spectra of Alkaline Metals |
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143 | (6) |
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7 Atoms with Multiple Valence Electrons |
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149 | (42) |
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7.1 The Pauli Exclusion Principle |
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149 | (3) |
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7.2 The Nonrelativistic Hamiltonian: Good Quantum Numbers |
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152 | (3) |
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7.3 The Central Field Approximation |
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155 | (1) |
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7.4 The Thomas-Fermi Method |
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156 | (3) |
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7.5 The Variational Method and the Hartree-Fock Method |
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159 | (4) |
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163 | (3) |
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7.7 The Principle of Formation of the Periodic Table |
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166 | (2) |
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7.8 Configurations of Excited Electrons |
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168 | (3) |
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7.9 A Summary of Angular Momentum Theory |
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171 | (6) |
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7.10 Terms Originating from Given Configurations |
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177 | (6) |
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7.11 The Eigenfunctions of the Non-relativistic Hamiltonian |
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183 | (3) |
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186 | (3) |
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189 | (2) |
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191 | (16) |
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8.1 The Diagonal Sum Rule |
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191 | (4) |
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8.2 Calculation of Diagonal Matrix Elements |
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195 | (3) |
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8.3 Single Particle Matrix Elements |
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198 | (1) |
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8.4 Matrix Elements of the Coulomb Interaction |
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199 | (3) |
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8.5 Sums over Closed Subshells |
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202 | (2) |
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204 | (3) |
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9 More Details on Atomic Spectra |
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207 | (30) |
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9.1 The Spin-Orbit Interaction |
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207 | (3) |
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9.2 The Wigner-Eckart Theorem and the Projection Theorem |
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210 | (3) |
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9.3 The Lande Interval Rule |
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213 | (5) |
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9.4 The j-j Coupling and the Intermediate Coupling |
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218 | (2) |
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9.5 The Zeeman Effect (Classical Approach) |
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220 | (2) |
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9.6 The Zeeman Effect (Quantum Approach) |
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222 | (5) |
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9.7 The Paschen-Back Effect |
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227 | (3) |
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9.8 Hyperfine Structure, Isotope Effect |
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230 | (3) |
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9.9 Hyperfine Structure, Effect Due to the Nuclear Spin |
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233 | (4) |
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10 Laws of Thermodynamic Equilibrium |
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237 | (24) |
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10.1 The Principles of Statistical Equilibrium |
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237 | (3) |
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10.2 Maxwell's Velocity Distribution |
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240 | (3) |
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10.3 The Saha-Boltzmann Equation |
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243 | (4) |
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10.4 The Black-Body Radiation |
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247 | (5) |
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10.5 Properties of the Black-Body Radiation |
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252 | (4) |
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10.6 The Fermi-Dirac Statistics |
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256 | (1) |
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10.7 The Bose-Einstein Statistics |
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257 | (4) |
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11 Interaction Between Matter and Radiation |
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261 | (30) |
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11.1 The Interaction Hamiltonian |
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261 | (1) |
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11.2 The Kinetic Equations |
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262 | (4) |
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266 | (2) |
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268 | (3) |
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11.5 Elementary Processes |
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271 | (5) |
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11.6 The Statistical Equilibrium Equations |
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276 | (3) |
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11.7 Einstein Coefficients |
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279 | (1) |
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11.8 The Radiative Transfer Equation |
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280 | (2) |
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11.9 The Absorption and Emission Coefficients |
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282 | (3) |
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11.10 Profile of the Emission Coefficient |
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285 | (6) |
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12 Selection Rules and Line Strengths |
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291 | (16) |
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12.1 Selection Rules for the Quantum Numbers |
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291 | (2) |
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12.2 Selection Rules for the Configurations |
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293 | (2) |
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12.3 Forbidden Transitions |
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295 | (2) |
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12.4 Semi-forbidden Transitions |
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297 | (1) |
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12.5 Forbidden Lines in Astronomical Objects |
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298 | (3) |
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12.6 Relative Strengths Within Multiplets in L-S Coupling |
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301 | (6) |
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13 Non-equilibrium Plasmas |
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307 | (8) |
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13.1 The Kinetic Temperature of the Electrons |
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307 | (2) |
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13.2 Electron-Atom Collisions |
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309 | (2) |
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13.3 The Einstein-Milne Relations |
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311 | (1) |
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13.4 The Two-Level Atom in Non-equilibrium Conditions |
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312 | (3) |
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315 | (22) |
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14.1 Formal Solution of the Radiative Transfer Equation |
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315 | (2) |
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14.2 Radiative Transfer in Stellar Atmospheres |
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317 | (4) |
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321 | (4) |
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325 | (1) |
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14.5 Realistic Models of Stellar Atmospheres |
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326 | (2) |
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14.6 The Continuum Spectrum |
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328 | (4) |
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14.7 Spectral Lines in Local Thermodynamic Equilibrium |
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332 | (2) |
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14.8 Spectral Lines in Non-equilibrium Conditions |
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334 | (3) |
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15 Second Order Processes |
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337 | (32) |
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337 | (4) |
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15.2 Thomson Scattering (Quantum Approach) |
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341 | (3) |
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15.3 The Rayleigh and Raman Scattering (Quantum Approach) |
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344 | (3) |
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15.4 Compton Scattering, Kinematic Aspects |
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347 | (1) |
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15.5 Compton Scattering, Dynamic Aspects |
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348 | (7) |
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15.6 The Klein-Nishina Equation |
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355 | (6) |
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15.7 The Total Cross-Section for Compton Scattering |
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361 | (1) |
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15.8 Polarisation Properties of Compton Scattering |
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362 | (3) |
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15.9 Energy Exchange Between Photons and Electrons |
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365 | (1) |
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15.10 The Inverse Compton Scattering |
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366 | (3) |
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369 | (52) |
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16.1 Units of Measurement for Electromagnetic Phenomena |
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369 | (7) |
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376 | (7) |
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16.3 The Dirac Delta Function |
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383 | (2) |
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16.4 Recovering the Elementary Laws of Electromagnetism |
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385 | (3) |
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16.5 The Relativistic Larmor Equation |
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388 | (3) |
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391 | (3) |
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16.7 Calculation of the Thomas-Fermi Integral |
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394 | (1) |
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16.8 Energy of the Ground Configuration of the Silicon Atom |
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395 | (2) |
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16.9 Calculation of the Fine-Structure Constant of a Term |
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397 | (2) |
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16.10 The Fundamental Principle of Statistical Thermodynamics |
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399 | (3) |
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16.11 Transition Probability for the Coherences |
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402 | (3) |
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16.12 Sums over the Magnetic Quantum Numbers |
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405 | (3) |
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16.13 Calculation of a Matrix Element |
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408 | (1) |
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16.14 Gauge Invariance in Quantum Electrodynamics |
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409 | (2) |
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16.15 The Gamma Matrices and the Relativistic Invariants |
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411 | (7) |
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418 | (3) |
| References |
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421 | (2) |
| Index |
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423 | |
