| Preface | p. v |
| Contents | p. vii |
| Failure of the Classical Theories | p. 1 |
| Electron-Proton System Collapse | p. 1 |
| Blackbody Radiation | p. 4 |
| Planck's Resolution | p. 7 |
| The Photoelectric Effect | p. 9 |
| Atomic Spectra | p. 9 |
| Wave Packets | p. 13 |
| Space Localization | p. 13 |
| Uncertainty Relations | p. 15 |
| Illustrations of Uncertainty Relations | p. 16 |
| p. 21 |
| p. 22 |
| Wave Functions and Probability | p. 24 |
| Physical Interpretation of Wave Packets | p. 24 |
| Probability | p. 26 |
| Gaussian Packets | p. 28 |
| p. 32 |
| Schrodinger's Equation | p. 35 |
| Derivation of Schrodinger's Equation | p. 35 |
| Differential Conservation Laws | p. 36 |
| p. 38 |
| Quantum Mechanical Operators | p. 40 |
| Expectation Values | p. 40 |
| Commutators | p. 42 |
| General Uncertainty Relation | p. 48 |
| Schrodinger's Equation with Forces | p. 51 |
| Introduction of Forces | p. 51 |
| Energy Eigenvalues and Stationary States | p. 54 |
| Examples with Forces | p. 55 |
| Orthogonality and Completeness | p. 62 |
| Continuous Spectrum Eigensolutions | p. 66 |
| Completeness | p. 66 |
| Normalization to Energy | p. 69 |
| Combination of Discrete and Continuous States | p. 70 |
| The Harmonic Oscillator | p. 72 |
| Stationary State Solutions | p. 72 |
| Hermite Polynomials | p. 75 |
| p. 80 |
| Three-Dimensional Problems | p. 83 |
| Spherically Symmetric Potential | p. 83 |
| Angular Momentum | p. 86 |
| Three-Dimensional Harmonic Oscillator | p. 89 |
| Matrices | p. 93 |
| Operator Representation of Matrices | p. 93 |
| Hermitian Matrices | p. 95 |
| Matrix Manipulation of the Harmonic Oscillator | p. 97 |
| p. 100 |
| Matrices in Different Representations | p. 103 |
| Unitary Transformations | p. 103 |
| Simultaneous Diagonalization of Matrices | p. 106 |
| Simultaneous Diagonalization for Spherical Symmetry | p. 108 |
| Approximate Methods I | p. 113 |
| WKB -- Semi-Classical Approximation | p. 113 |
| WKB Connection Relations | p. 116 |
| p. 121 |
| Applications of WKB Method | p. 124 |
| Verification of Bohr Quantum Rules | p. 124 |
| Proof of Correspondence Principle for Periodic Orbits | p. 126 |
| Potential Barrier Penetration | p. 130 |
| Alpha Decay | p. 133 |
| Introduction | p. 133 |
| Resonance and Non-Resonance Energy Levels | p. 135 |
| Approximate Methods II | p. 146 |
| Time Independent Perturbation Theory | p. 146 |
| First-Order Approximation | p. 147 |
| Second-Order Approximation | p. 150 |
| Degeneracy | p. 151 |
| Normal Zeeman Effect | p. 156 |
| p. 160 |
| Continuous Spectrum Perturbation | p. 167 |
| Born Approximation | p. 167 |
| Properties of the Green's Function | p. 172 |
| Asymptotic Behavior | p. 174 |
| Spherically Symmetric Potential | p. 175 |
| Rutherford Scattering | p. 178 |
| Approximate Methods III | p. 180 |
| Time Dependent Perturbation Theory | p. 180 |
| Perturbation Method | p. 181 |
| Adiabatic Theorem | p. 183 |
| Non-Adiabatic Limit | p. 185 |
| Atom in an Excited State | p. 186 |
| Scattering of Photons by Electrons | p. 188 |
| Spin and Spinors | p. 193 |
| Introduction | p. 193 |
| Formal Properties of Rotation | p. 194 |
| Infinitesimal Rotation | p. 195 |
| Finite Rotation in 2-Dimensions | p. 197 |
| Pauli Spin Matrices | p. 198 |
| Most General Operator for Spin 1/2 | p. 200 |
| Spinors | p. 202 |
| Most General 2 andtimes; 2 Hermitian Operator | p. 203 |
| Spin Transformation | p. 205 |
| Unit Spinors | p. 211 |
| Fine Structure of the Hydrogen Atom | p. 213 |
| The Perturbing Potential | p. 213 |
| Good Quantum Numbers | p. 216 |
| First-Order Perturbed Energy Levels | p. 221 |
| Anamolous Zeeman Effect | p. 225 |
| Introduction | p. 225 |
| Strong-Field Limit | p. 226 |
| Weak Field Limit | p. 228 |
| Transition Region | p. 230 |
| Assemblages of Identical Particles | p. 236 |
| Methods of Approach | p. 236 |
| Assemblage of Bosons | p. 236 |
| Matrix Elements | p. 240 |
| Second Quantization | p. 243 |
| Commutation Relations for Field Variables | p. 247 |
| p. 250 |
| Conclusion | p. 252 |
| The Dirac Equation | p. 253 |
| Relativistic Equations | p. 253 |
| The Dirac Equation | p. 254 |
| Solution for a Free Particle | p. 258 |
| Hamiltonian Equation of Motion | p. 260 |
| Free Electrons -- No Spin Effects | p. 264 |
| p. 266 |
| Non-Relativistic Limits of the Dirac Equation | p. 268 |
| Large and Small Term Separation of the Dirac Spinor | p. 268 |
| Expansion to Order v/c | p. 269 |
| Expansion to Order v[superscript 2]/c[superscript 2] | p. 272 |
| Dirac Operator and Wave Function Transformations | p. 276 |
| Dirac Equation in Manifestly Covarient Form | p. 276 |
| Transformation Properties of the Dirac Equation | p. 278 |
| Charge Current and Density | p. 280 |
| Example: Free Particle Solution | p. 283 |
| The Reflection Transformation | p. 285 |
| Time Reversal | p. 288 |
| Charge Conjugation | p. 289 |
| p. 290 |
| Negative Energy Solutions; Positron Theory | p. 292 |
| Introduction to Dirac's Theory of Second Quantization | p. 292 |
| Symmetrical Formalism for Electrons and Positrons | p. 296 |
| Annihilation and Creation Operators for Positrons | p. 299 |
| Vacuum Polarization | p. 302 |
| Relativistic Theory of Coulomb Scattering | p. 304 |
| Single-Particle Dirac Equation | p. 304 |
| Field Theory | p. 305 |
| p. 311 |
| Compton Scattering | p. 314 |
| Photon-Electron Interaction | p. 314 |
| Field Theoretic Approach | p. 315 |
| Application of Time Dependent Perturbation Theory | p. 317 |
| Negative Energy Intermediate States | p. 321 |
| p. 326 |
| Feynman Diagrams | p. 328 |
| Compton Scattering Cross Section | p. 329 |
| Relativistic and Non-Relativistic Limits | p. 340 |
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