| Angular Momentum | p. 1 |
| Orbital Angular Momentum - Spherical Harmonics | p. 1 |
| Quantum Mechanics of Angular Momentum | p. 2 |
| Spherical Coordinates - Spherical Harmonics | p. 4 |
| Spin Angular Momentum | p. 8 |
| Spin 1/2 and Spinors | p. 8 |
| Infinitesimal Rotations of Vector Fields | p. 9 |
| Spin 1 and Vectors | p. 10 |
| Clebsch-Gordan Coefficients | p. 12 |
| Wigner 3j Symbols | p. 16 |
| Irreducible Tensor Operators | p. 17 |
| Graphical Representation - Basic rules | p. 19 |
| Spinor and Vector Spherical Harmonics | p. 22 |
| Spherical Spinors | p. 22 |
| Vector Spherical Harmonics | p. 24 |
| Problems | p. 26 |
| Central-Field Schrodinger Equation | p. 29 |
| Radial Schrodinger Equation | p. 29 |
| Coulomb Wave Functions | p. 31 |
| Numerical Solution to the Radial Equation | p. 35 |
| Adams Method (Adams) | p. 37 |
| Starting the Outward Integration (OUTSCH) | p. 40 |
| Starting the Inward Integration (INSCH) | p. 42 |
| Eigenvalue Problem (Master) | p. 43 |
| Quadrature Rules (Rint) | p. 46 |
| Potential Models | p. 48 |
| Parametric Potentials | p. 49 |
| Thomas-Fermi Potential | p. 51 |
| Separation of Variables for Dirac Equation | p. 55 |
| Radial Dirac Equation for a Coulomb Field | p. 56 |
| Numerical Solution to Dirac Equation | p. 60 |
| Outward and Inward Integrations (Adams, OUTDIR, INDIR) | p. 61 |
| Eigenvalue Problem for Dirac Equation (Master) | p. 64 |
| Examples using Parametric Potentials | p. 65 |
| Problems | p. 66 |
| Self-Consistent Fields | p. 71 |
| Two-Electron Systems | p. 71 |
| HF Equations for Closed-Shell Atoms | p. 77 |
| Numerical Solution to the HF Equations | p. 88 |
| Starting Approximation (Hart) | p. 88 |
| Refining the Solution (NRHF) | p. 90 |
| Atoms with One Valence Electron | p. 93 |
| Dirac-Fock Equations | p. 97 |
| Problems | p. 104 |
| Atomic Multiplets | p. 107 |
| Second-Quantization | p. 107 |
| 6-j Symbols | p. 111 |
| Two-Electron Atoms | p. 114 |
| Atoms with One or Two Valence Electrons | p. 118 |
| Particle-Hole Excited States | p. 123 |
| 9-j Symbols | p. 126 |
| Relativity and Fine Structure | p. 128 |
| He-like Ions | p. 128 |
| Atoms with Two Valence Electrons | p. 132 |
| Particle-Hole States | p. 133 |
| Problems | p. 134 |
| Hyperfine Interaction & Isotope Shift | p. 137 |
| Hyperfine Structure | p. 137 |
| Atoms with One Valence Electron | p. 142 |
| Pauli Approximation | p. 144 |
| Isotope Shift | p. 146 |
| Normal and Specific Mass Shifts | p. 148 |
| Calculations of the SMS | p. 149 |
| Angular Decomposition | p. 149 |
| Application to One-Electron Atoms | p. 151 |
| Field Shift | p. 152 |
| Problems | p. 155 |
| Radiative Transitions | p. 157 |
| Review of Classical Electromagnetism | p. 157 |
| Electromagnetic Potentials | p. 157 |
| Electromagnetic Plane Waves | p. 159 |
| Quantized Electromagnetic Field | p. 160 |
| Eigenstates of N[subscript i] | p. 161 |
| Interaction Hamiltonian | p. 162 |
| Time-Dependent Perturbation Theory | p. 163 |
| Transition Matrix Elements | p. 164 |
| Gauge Invariance | p. 168 |
| Electric-Dipole Transitions | p. 169 |
| Magnetic-Dipole and Electric-Quadrupole Transitions | p. 175 |
| Nonrelativistic Many-Body Amplitudes | p. 182 |
| Theory of Multipole Transitions | p. 185 |
| Problems | p. 192 |
| Introduction to MBPT | p. 195 |
| Closed-Shell Atoms | p. 197 |
| Angular Momentum Reduction | p. 199 |
| Example: Second-Order Energy in Helium | p. 202 |
| B-Spline Basis Sets | p. 203 |
| Hartree-Fock Equation and B-splines | p. 206 |
| B-spline Basis for the Dirac Equation | p. 207 |
| Application: Helium Correlation Energy | p. 208 |
| Atoms with One Valence Electron | p. 209 |
| Second-Order Energy | p. 210 |
| Angular Momentum Decomposition | p. 211 |
| Quasi-Particle Equation and Brueckner Orbitals | p. 212 |
| Monovalent Negative Ions | p. 214 |
| Relativistic Calculations | p. 216 |
| Breit Interaction | p. 217 |
| Angular Reduction of the Breit Interaction | p. 218 |
| Coulomb-Breit Many-Electron Hamiltonian | p. 221 |
| Closed-Shell Energies | p. 221 |
| One Valence Electron | p. 223 |
| CI Calculations | p. 224 |
| Relativistic CI Calculations | p. 226 |
| MBPT for Divalent Atoms and Ions | p. 227 |
| Two-Particle Model Spaces | p. 227 |
| First-Order Perturbation Theory | p. 230 |
| Second-Order Perturbation Theory | p. 231 |
| Angular Momentum Reduction | p. 233 |
| Problems | p. 234 |
| MBPT for Matrix Elements | p. 237 |
| Second-Order Corrections | p. 237 |
| Angular Reduction | p. 239 |
| Random-Phase Approximation | p. 240 |
| Gauge Independence of the RPA | p. 242 |
| The RPA for Hyperfine Constants | p. 243 |
| Third-Order Matrix Elements | p. 244 |
| Matrix Elements of Two-Particle Operators | p. 247 |
| Two-Particle Operators: Closed-Shell Atoms | p. 248 |
| Two-Particle Operators: One Valence Electron Atoms | p. 248 |
| CI Calculations for Two-Electron Atoms | p. 251 |
| El Transitions in He | p. 252 |
| Second-Order Matrix Elements in Divalent Atoms | p. 253 |
| Summary Remarks | p. 257 |
| Problems | p. 258 |
| Solutions | p. 261 |
| References | p. 303 |
| Index | p. 307 |
| Table of Contents provided by Ingram. All Rights Reserved. |
