| Preface | p. vii |
| Background | p. 1 |
| Introduction | p. 1 |
| The Bohr Model of the Atom | p. 1 |
| Numerical Values and the Fine Structure Constant | p. 7 |
| Atomic Dimensions-Is a[subscript 0] a Reasonable Atomic Diameter? | p. 8 |
| Localizing the Electron: Is a Point Particle Reasonable? | p. 10 |
| The Classical Radius of the Electron | p. 11 |
| Atomic Units | p. 11 |
| Angular Momentum | p. 14 |
| Introduction | p. 14 |
| Commutators | p. 18 |
| Angular Momentum Raising and Lowering Operators | p. 20 |
| Angular Momentum Commutation Relations with Vector Operators | p. 25 |
| Matrix Elements of Vector Operators | p. 26 |
| Eigenfunctions of Orbital Angular Momentum Operators | p. 29 |
| Spin | p. 33 |
| The Stern-Gerlach Experiment | p. 41 |
| Angular Momentum-Two Sources | p. 46 |
| Introduction | p. 46 |
| Two Sets of Quantum Numbers-Uncoupled and Coupled | p. 46 |
| Vector Model of Angular Momentum | p. 51 |
| Examples of Calculation of the Clebsch-Gordan Coefficients | p. 55 |
| Hyperfine Splitting in the Hydrogen Atom | p. 61 |
| The Quantum Mechanical Hydrogen Atom | p. 73 |
| The Radial Equation for a Central Potential | p. 73 |
| Solution of the Radial Equation in Spherical Coordinates-The Energy Eigenvalues | p. 75 |
| The Accidental Degeneracy of the Hydrogen Atom | p. 77 |
| Solution of the Hydrogen Atom Radial Equation in Spherical Coordinates-The Energy Eigenfunctions | p. 79 |
| The Nature of the Spherical Eigenfunctions | p. 82 |
| Separation of the Schrodinger Equation in Parabolic Coordinates | p. 82 |
| Solution of the Separated Equations in Parabolic Coordinates-The Energy Eigenvalues | p. 85 |
| Solution of the Separated Equations in Parabolic Coordinates-The Energy Eigenfunctions | p. 87 |
| The Classical Hydrogen Atom | p. 92 |
| Introduction | p. 92 |
| The Classical Degeneracy | p. 95 |
| Another Constant of the Motion-The Lenz Vector | p. 97 |
| The Lenz Vector and the Accidental Degeneracy | p. 105 |
| The Lenz Vector in Quantum Mechanics | p. 105 |
| Lenz Vector Ladder Operators; Conversion of a Spherical Eigenfunction into Another Spherical Eigenfunction | p. 109 |
| Application of Lenz Vector Ladder Operators to a General Spherical Eigenfunction | p. 114 |
| A New Set of Angular Momentum Operators | p. 116 |
| Energy Eigenvalues | p. 118 |
| Relations Between the Parabolic Quantum Numbers | p. 120 |
| Relationship Between the Spherical and Parabolic Eigenfunctions | p. 122 |
| Additional Symmetry Considerations | p. 123 |
| Breaking the Accidental Degeneracy | p. 126 |
| Introduction | p. 126 |
| Relativistic Correction for the Electronic Kinetic Energy | p. 127 |
| Spin-Orbit Correction | p. 128 |
| The Darwin Term | p. 130 |
| Evaluation of the Terms That Contribute to the Fine-Structure of Hydrogen | p. 130 |
| The Total Fine-Structure Correction | p. 135 |
| The Lamb Shift | p. 137 |
| Hyperfine Structure | p. 139 |
| The Solution of the Dirac Equation | p. 142 |
| The Hydrogen Atom in External Fields | p. 145 |
| Introduction | p. 145 |
| The Zeeman Effect-The Hydrogen Atom in a Constant Magnetic Field | p. 146 |
| Weak Electric Field-The Quantum Mechanical Stark Effect | p. 159 |
| Weak Electric Field-The Classical Stark Effect | p. 171 |
| The Helium Atom | p. 178 |
| Indistinguishable Particles | p. 178 |
| The Total Energy of the Helium Atom | p. 180 |
| Evaluation of the Ground State Energy of the Helium Atom Using Perturbation Theory | p. 183 |
| The Variational Method | p. 186 |
| Application of the Variational Principle to the Ground State of Helium | p. 187 |
| Excited States of Helium | p. 189 |
| Doubly Excited States of Helium: Autoionization | p. 192 |
| Multielectron Atoms | p. 196 |
| Introduction | p. 196 |
| Electron Configuration | p. 196 |
| The Designation of States-LS Coupling | p. 198 |
| The Designation of States-jj Coupling | p. 207 |
| The Quantum Defect | p. 214 |
| Introduction | p. 214 |
| Introduction | p. 214 |
| Evaluation of the Quantum Defect | p. 216 |
| Classical Formulation of the Quantum Defect and the Correspondence Principle | p. 220 |
| The Connection Between the Quantum Defect and the Radial Wave Function | p. 225 |
| Multielectron Atoms in External Fields | p. 230 |
| The Stark Effect | p. 230 |
| The Zeeman Effect | p. 238 |
| Interaction of Atoms with Radiation | p. 246 |
| Introduction | p. 246 |
| Time Dependence of the Wave Function | p. 248 |
| Interaction of an Atom with a Sinusoidal Electromagnetic Field | p. 249 |
| A Two-State System-The Rotating Wave Approximation | p. 251 |
| Stimulated Absorption and Stimulated Emission | p. 254 |
| Spontaneous Emission | p. 260 |
| Angular Momentum Selection Rules | p. 266 |
| Selection Rules for Hydrogen Atoms | p. 267 |
| Transitions in Multielectron Atoms | p. 272 |
| Answers to Selected Problems | p. 279 |
| Index | p. 285 |
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