| Preface |
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ix | |
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1 | (30) |
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31 | (65) |
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31 | (2) |
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2.2 Galilean Transformations and Frames of Reference |
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33 | (4) |
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2.3 The Michelson-Morley Experiment |
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37 | (3) |
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2.4 Einstein's Axioms of Special Theory of Relativity |
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40 | (2) |
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2.5 Relativistic Simultaneity |
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42 | (3) |
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2.6 The Lorentz Transformations |
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45 | (7) |
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2.6.1 Relativistic Inertial Frames and Derivation of the Transformations |
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45 | (5) |
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2.6.2 Lorentz Transformation as a Rotation in Four-Dimensional Space |
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50 | (2) |
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2.7 Properties of Lorentz Transformations |
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52 | (1) |
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53 | (2) |
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55 | (1) |
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56 | (1) |
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57 | (1) |
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2.12 Relativistic Transformation of Velocities |
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58 | (2) |
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60 | (5) |
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2.14 Mass-Energy Equivalence |
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65 | (3) |
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2.15 Relativistic Kinetic Energy and Momentum |
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68 | (2) |
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2.16 Lorentz Transformation for Momentum and Energy |
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70 | (2) |
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2.17 Relativistic Mechanics |
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72 | (2) |
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74 | (2) |
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2.19 Four-Dimensional Linear and Angular Momentum |
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76 | (2) |
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2.20 Relativistic Electromagnetism |
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78 | (11) |
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2.21 Group Theoretical Representation of Lorentz Transformations |
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89 | (7) |
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3 Relativistic Quantum Mechanics |
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96 | (101) |
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96 | (3) |
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3.2 The Klein-Gordon Equation |
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99 | (2) |
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3.3 Solution of the Free-Particle Klein-Gordon Equation and Its Properties |
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101 | (1) |
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3.4 The Klein-Gordon Equation for a Charged Particle in an Electromagnetic Field |
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102 | (2) |
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3.5 Solution of Klein-Gordon Equation in a Coulombic Field |
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104 | (4) |
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3.6 Nonrelativistic Limit of the Klein-Gordon Equation |
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108 | (2) |
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110 | (9) |
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3.8 Solution of the Dirac Equation for a Free Electron |
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119 | (5) |
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3.9 Relativistic One-Dimensional Barrier |
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124 | (5) |
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3.10 Properties of the XXX Matrices |
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129 | (3) |
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3.11 Relativistic Angular Momentum in Terms of Pauli Matrices |
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132 | (7) |
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3.12 Dirac Equation for a Charged Particle in an Electromagnetic Field |
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139 | (2) |
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3.13 Foldy-Wouthuysen Transformation of the Dirac Equation |
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141 | (2) |
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3.14 Pauli Approximation to the Dirac Equation |
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143 | (7) |
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3.15 Pauli Theory of the Hydrogen Atom |
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150 | (9) |
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3.16 Exact Solution of the Dirac Equation for the Hydrogen Atom |
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159 | (17) |
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3.17 Positrons and Negative Energy Solutions |
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176 | (2) |
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3.18 Fine Structure and Lamb Shift |
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178 | (2) |
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3.19 Breit Equations for Two-Electron Problem |
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180 | (8) |
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3.20 Evaluation of the Breit-Pauli Terms for Heliumlike Atoms |
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188 | (5) |
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3.20.1 Mass-Velocity Term |
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188 | (1) |
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3.20.2 Retardation Correction and Darwin Correction |
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189 | (1) |
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3.20.3 Spin-Orbit Correction |
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190 | (2) |
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3.20.4 Spin-Spin Interaction for Helium |
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192 | (1) |
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3.21 Breit-Pauli Approximation to the Multielectron Problem |
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193 | (2) |
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3.22 Bethe-Salpeter Covariant Equation |
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195 | (2) |
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4 Relativistic Quantum Chemistry |
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197 | (20) |
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4.1 Relativistic Hamiltonians for Multielectron Systems |
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198 | (3) |
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4.2 Computational Techniques for Molecules Containing Very Heavy Atoms |
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201 | (7) |
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4.2.1 Ab initio Effective Core Potential Techniques |
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201 | (7) |
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4.3 Ab Initio SCF, CASSCF, CI, and RCI Methods for the Electronic Structure of Molecules |
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208 | (3) |
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211 | (6) |
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4.4.1 Ligand Field Theory |
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211 | (1) |
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4.4.2 Local Density Function (LDF) Method |
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211 | (2) |
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4.4.3 Intermediate Neglect of Differential Overlap/Spin-Orbit CI Method (INDO/S-CI) |
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213 | (4) |
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5 Double-Group Symmetry and the Classification of Relativistic Electronic States |
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217 | (76) |
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5.1 Double-Group Symmetry |
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217 | (4) |
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5.2 Double-Group of Diatomics |
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221 | (1) |
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5.3 Nonrelativistic Classification of the Electronic States of Diatomics |
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222 | (7) |
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5.4 Relativistic Treatment of Electronic States of a Diatomic and Use of the Double-Group Theory |
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229 | (10) |
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5.5 Relativistic Wavefunctions for the Relativistic Electronic States of a Diatomic |
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239 | (7) |
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5.6 Double Groups of Polyatomic Molecules |
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246 | (30) |
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5.7 Correlation of Spin States in the Double Group and Enumeration of Relativistic States |
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276 | (10) |
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5.8 Symmetry-Adapted Spin Functions for the Relativistic Electronic States |
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286 | (7) |
| Index |
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293 | |