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Preface to Third Edition | ||
Preface to Second Edition | ||
Preface to First Edition | ||
Ch. 1 | Introduction | 1 |
1.1 | The Photoelectric Effect | 2 |
1.2 | The Compton Effect | 3 |
1.3 | Line Spectra and Atomic Structure | 5 |
1.4 | De Broglie Waves | 7 |
1.5 | Wave-Particle Duality | 10 |
1.6 | The Rest of this Book | 13 |
Ch. 2 | The One-Dimensional Schrodinger Equations | 15 |
2.1 | The Time-Dependent Schrodinger Equation | 16 |
2.2 | The Time-Independent Schrodinger Equation | 19 |
2.3 | Boundary Conditions | 21 |
2.4 | Examples | 22 |
2.5 | Quantum Mechanical Tunnelling | 29 |
2.6 | The Harmonic Oscillator | 33 |
Ch. 3 | The Three-Dimensional Schrodinger Equations | 39 |
3.1 | The Wave Equations | 39 |
3.2 | Separation in Cartesian Coordinates | 41 |
3.3 | Separation in Spherical Polar Coordinates | 45 |
3.4 | The Hydrogenic Atom | 53 |
Ch. 4 | The Basic Postulates of Quantum Mechanics | 61 |
4.1 | The Wave Function | 62 |
4.2 | The Dynamical Variables | 63 |
4.3 | The Properties of Hermitian Operators | 68 |
4.4 | Probability Distributions | 70 |
4.5 | Commutation Relations | 73 |
4.6 | The Time Dependence of the Wave Function | 80 |
4.7 | The Measurement of Momentum by Compton Scattering | 82 |
4.8 | Degeneracy | 86 |
Ch. 5 | Angular Momentum I | 91 |
5.1 | The Angular-Momentum Operators | 92 |
5.2 | The Eigenvalues and Eigenfunctions | 94 |
5.3 | The Experimental Measurement of Angular Momentum | 97 |
5.4 | A General Solution to the Eigenvalue Problem | 100 |
Ch. 6 | Angular Momentum II | 106 |
6.1 | Matrix Representations | 106 |
6.2 | Pauli Spin Matrices | 110 |
6.3 | Spin and the Quantum Theory of Measurement | 112 |
6.4 | The Addition of Angular Momenta | 115 |
6.5 | Spin-Orbit Coupling | 119 |
6.6 | The Zeeman Effect | 123 |
Ch. 7 | Time-Independent Perturbation Theory and the Variational Principle | 129 |
7.1 | Perturbation Theory for Non-Degenerate Energy Levels | 130 |
7.2 | Perturbation Theory for Degenerate Levels | 136 |
7.3 | The Variational Principle | 145 |
Ch. 8 | Time Dependence | 152 |
8.1 | Time-Independent Hamiltonians | 153 |
8.2 | The Sudden Approximation | 159 |
8.3 | Time-Dependent Perturbation Theory | 160 |
8.4 | Selection Rules | 165 |
8.5 | The Ehrenfest Theorem | 169 |
8.6 | The Ammonia Maser | 171 |
Ch. 9 | Scattering | 176 |
9.1 | Scattering in One Dimension | 177 |
9.2 | Scattering in Three Dimensions | 182 |
9.3 | The Born Approximation | 184 |
9.4 | Partial Wave Analysis | 189 |
Ch. 10 | Many-Particle Systems | 201 |
10.1 | General Considerations | 201 |
10.2 | Isolated Systems | 203 |
10.3 | Non-Interacting Particles | 204 |
10.4 | Indistinguishable Particles | 205 |
10.5 | The Helium Atom | 208 |
10.6 | Systems with More than Two Indistinguishable Particles | 215 |
10.7 | Scattering of Identical Particles | 218 |
Ch. 11 | The Conceptual Problems of Quantum Mechanics | 222 |
11.1 | The Conceptual Problems | 223 |
11.2 | Hidden-Variable Theories | 224 |
11.3 | Non-Locality | 228 |
11.4 | Theories of Measurement | 238 |
11.5 | The Problem of Reality | 249 |
Bibliography | 251 | |
Hints to Solution of Problems | 254 | |
Index | 261 |
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