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| Foreword | |
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| Editor's preface to the Manchester Physics Series | |
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| Author's preface | |
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| Planck's Constant in Action | |
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| Photons | |
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| De Broglie Waves | |
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| Atoms | |
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| Measurement | |
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| The uncertainty principle | |
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| Measurement and wave-particle duality | |
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| Measurement and non-locality | |
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| Problems 1 | |
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| The Schrodinger Equation | |
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| Waves | |
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| Sinusoidal waves | |
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| Linear superpositions of sinusoidal waves | |
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| Dispersive and non-dispersive waves | |
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| Particle Wave Equations | |
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| A wave equation for a free particle | |
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| Wave equation for a particle in a potential energy field | |
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| Problems 2 | |
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| Position and Momentum | |
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| Probability | |
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| Discrete random variables | |
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| Continuous random variables | |
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| Position Probabilities | |
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| Two-slit interference | |
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| The Born interpretation of the wave function | |
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| Momentum Probabilities | |
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| A Particle in a Box I | |
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| Expectation Values | |
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| Operators | |
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| Uncertainties | |
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| Quantum States | |
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| Problems 3 | |
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| Energy and Time | |
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| The Hamiltonian Operator | |
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| Normal Modes of a String | |
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| States of Certain Energy | |
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| A Particle in a Box II | |
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| A one-dimensional box | |
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| A three-dimensional box | |
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| States of Uncertain Energy | |
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| Basis functions | |
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| Energy probability amplitudes | |
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| Time Dependence | |
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| Problems 4 | |
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| Square Wells and Barriers | |
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| Bound and Unbound States | |
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| Bound states | |
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| Unbound states | |
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| General implications | |
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| Barrier Penetration | |
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| Stationary state analysis of reflection and transmission | |
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| Tunnelling through wide barriers | |
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| Tunnelling electrons | |
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| Tunnelling protons | |
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| Problems 5 | |
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| The Harmonic Oscillator | |
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| The Classical Oscillator | |
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| The Quantum Oscillator | |
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| Quantum States | |
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| Stationary states | |
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| Non-stationary states | |
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| Diatomic Molecules | |
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| Three-dimensional Oscillators | |
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| The Oscillator Eigenvalue Problem | |
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| The ground state | |
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| Excited states | |
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| Is E[subscript 0] really the lowest energy? | |
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| Mathematical properties of the oscillator eigenfunctions | |
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| Problems 6 | |
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| Observ Ables and Operators | |
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| Essential Properties | |
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| Position and Momentum | |
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| Eigenfunctions for position | |
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| Eigenfunctions for momentum | |
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| Delta function normalization | |
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| Compatible Observables | |
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| Commutators | |
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| A particle in one dimension | |
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| A particle in three dimensions | |
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| Constants of Motion | |
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| Problems 7 | |
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| Angular Momentum | |
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| Angular Momentum Basics | |
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| Magnetic Moments | |
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| Classical magnets | |
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| Quantum magnets | |
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| Magnetic energies and the Stern-Gerlach experiment | |
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| Orbital Angular Momentum | |
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| Classical orbital angular momentum | |
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| Quantum orbital angular momentum | |
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| Angular shape of wave functions | |
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| Spherical harmonics | |
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| Linear superposition | |
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| Problems 8 | |
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| The Hydrogen Atom | |
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| Central Potentials | |
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| Classical mechanics of a particle in a central potential | |
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| Quantum mechanics of a particle in a central potential | |
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| Quantum Mechanics of the Hydrogen Atom | |
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| Energy levels and eigenfunctions | |
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| Sizes and Shapes | |
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| Radiative Transitions | |
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| The Reduced Mass Effect | |
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| Relativistic Effects | |
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| The Coulomb Eigenvalue Problem | |
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| Problems 9 | |
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| Identical Particles | |
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| Exchange Symmetry | |
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| Physical Consequences | |
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| Exchange Symmetry with Spin | |
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| Bosons and Fermions | |
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| Problems 10 | |
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| Atoms | |
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| Atomic Quantum States | |
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| The central field approximation | |
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| Corrections to the central field approximation | |
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| The Periodic Table | |
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| What If? | |
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| Problems 11 | |
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| Hints to selected problems | |
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| Further reading | |
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| Index | |
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| Physical constants and conversion factors | |