| Preface | p. v |
| Introduction | p. 1 |
| Old Quantum Theory | p. 7 |
| Black Body Radiation | p. 7 |
| The Photoelectric Effect | p. 14 |
| Compton Scattering | p. 16 |
| De Broglie's Hypothesis | p. 18 |
| Bohr's Model of the Atom | p. 20 |
| Problems with Old Quantum Theory | p. 23 |
| Exercises | p. 25 |
| Quantum Mechanics | p. 27 |
| Schrödinger's Equation | p. 28 |
| Born's Postulate | p. 30 |
| Time-Independent Schrödinger Equation | p. 31 |
| Free Particle | p. 33 |
| Observables and Operators | p. 33 |
| The Superposition Principle | p. 35 |
| Expectation Values | p. 36 |
| The Uncertainty Principle | p. 37 |
| Conceptual Foundations of Quantum Mechanics | p. 37 |
| Exercises | p. 41 |
| Applications of Quantum Mechanics | p. 43 |
| Infinite Square Well | p. 43 |
| The Quantum Harmonic Oscillator | p. 46 |
| Tunnelling | p. 48 |
| Reflection and Transmission Coefficients | p. 51 |
| Tunnelling in Action | p. 52 |
| Two Level Systems | p. 54 |
| Cold Matter | p. 55 |
| Exercises | p. 59 |
| Schrödinger Equation in Three-Dimensions | p. 63 |
| Three-Dimensional Box | p. 63 |
| Schrödinger Equation in Spherical Coordinates | p. 64 |
| Separation of Variables | p. 68 |
| The Hydrogen Atom | p. 69 |
| Radial Probability Densities | p. 72 |
| Exercises | p. 74 |
| Spin and Statistics | p. 77 |
| Stern-Gerlach Experiment | p. 77 |
| What is Spin? | p. 79 |
| Symmetry of the Wave Function | p. 80 |
| Wave Function for Two Identical Particles | p. 81 |
| The Pauli Exclusion Principle | p. 83 |
| Spin States and Spin Functions | p. 84 |
| Bose-Einstein and Fermi-Dirac Distributions | p. 85 |
| Exercises | p. 90 |
| Atoms, Molecules and Lasers | p. 91 |
| Periodic Table | p. 91 |
| Ionisation Energies | p. 93 |
| Energy Spectrum | p. 95 |
| Ionic Bonding | p. 95 |
| Covalent Bonding | p. 97 |
| Van der Waals Force | p. 99 |
| Lasers | p. 100 |
| The Lasing Condition | p. 102 |
| Exercises | p. 105 |
| Formal Structure of Quantum Mechanics | p. 107 |
| States and Ensembles | p. 107 |
| Introduction to Dirac Notation | p. 108 |
| Operators | p. 110 |
| Measurements | p. 112 |
| Postulates of Quantum Mechanics | p. 114 |
| Position and Momentum Operators | p. 115 |
| Position and Momentum Wave Functions | p. 116 |
| Fourier Transforms and the Delta Function | p. 117 |
| Position and Momentum Operators Revisited | p. 120 |
| The Schrödinger Equation Revisited | p. 122 |
| The Uncertainty Principle Revisited | p. 123 |
| Pure and Mixed States | p. 124 |
| Annihilation and Creation Operators | p. 126 |
| The Mach-Zehnder Interferometer | p. 128 |
| Perturbation Theory | p. 132 |
| Exercises | p. 136 |
| Second Revolution: Relativity | p. 139 |
| Simultaneity | p. 140 |
| Lorentz Transformations | p. 140 |
| Length Contraction | p. 144 |
| Time Dilation | p. 145 |
| The Twin Paradox | p. 147 |
| Causality | p. 149 |
| E = Mc2 | p. 150 |
| Relativistic Newton's Laws of Motion | p. 153 |
| General Relativity | p. 154 |
| Exercises | p. 156 |
| Relativistic Quantum Mechanics | p. 159 |
| Why the Need for Relativistic Quantum Mechanics? | p. 159 |
| The Klein-Gordon Equation | p. 160 |
| Negative Probabilities | p. 161 |
| The Dirac Equation | p. 161 |
| Quantum Field Theory | p. 163 |
| Outlook | p. 166 |
| Exercises | p. 167 |
| Quantum Entanglement | p. 169 |
| What is Entanglement? | p. 170 |
| Bell's Inequalities | p. 171 |
| Quantum Teleportation | p. 174 |
| Why is Entanglement Necessary? | p. 177 |
| The Non-Increase of Entanglement under Local Operations | p. 178 |
| Entanglement Purification | p. 179 |
| Purification of Pure States | p. 182 |
| Entanglement Measures | p. 183 |
| Thermodynamics of Entanglement | p. 186 |
| Quantum Computing | p. 188 |
| Outlook | p. 190 |
| Exercises | p. 192 |
| Solutions | p. 193 |
| Chapter 2 | p. 193 |
| Chapter 3 | p. 196 |
| Chapter 4 | p. 198 |
| Chapter 5 | p. 203 |
| Chapter 6 | p. 205 |
| Chapter 7 | p. 207 |
| Chapter 8 | p. 210 |
| Chapter 9 | p. 215 |
| Chapter 10 | p. 217 |
| Chapter 11 | p. 220 |
| Bibliography | p. 223 |
| Index | p. 225 |
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