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Table of Contents
Intro
Preface to the Second Edition
Preface to the First Edition
Contents
List of Figures
1 Three Simple Experiments
1.1 The Purpose of Physical Theories
1.2 Experiment 1: A Laser and A Detector
1.3 Experiment 2: A Laser and A Beam Splitter
1.4 Experiment 3: The Mach-Zehnder Interferometer
1.5 The Breakdown of Classical Concepts
2 Photons and Interference
2.1 The State of a Physical System
2.2 Photon Paths and Superpositions
2.3 Mathematical Intermezzo: Matrix Multiplication
2.4 The Beam Splitter as a Matrix
2.5 Mathematical Intermezzo: Complex Numbers
2.6 The Phase in an Interferometer
2.7 Mathematical Intermezzo: Probabilities
2.8 How to Calculate Probabilities
2.9 Gravitational Wave Detection
2.10 A Quantum Bomb Detector
3 Electrons with Spin
3.1 The Stern-Gerlach Experiment
3.2 The Spin Observable
3.3 The Bloch Sphere
3.4 Uncertainty
3.5 The Magnitude of the Electron Spin
3.6 Photon Polarisation
3.7 39 Magnetic Resonance Imaging
4 Atoms and Energy
4.1 The Energy Spectrum of Atoms
4.2 Changes Over Time
4.3 The Hamiltonian
4.4 Interactions
4.5 Interaction Energy and the Zeeman Effect
4.6 39 The Atomic Clock
5 Operators
5.1 Eigenvalue Problems
5.2 Observables
5.3 Evolution
5.4 The Commutator
5.5 Projectors
6 Entanglement
6.1 The State of Two Electrons
6.2 Entanglement
6.3 Quantum Teleportation
6.4 Mathematical Intermezzo: Qubits and Computation
6.5 39 Quantum Computers
6.6 39 The No-Cloning Theorem and Quantum Cryptography
6.7 39 Entanglement Generation Over Large Distances
7 Decoherence
7.1 Classical and Quantum Uncertainty
7.2 The Density Matrix
7.3 Interactions with the Environment
7.4 Quantum Systems at Finite Temperature
7.5 39 Entropy and Landauer's Principle
7.6 39 Entanglement Measures
8 Motion of Particles
8.1 A Particle in a Box
8.2 Mathematical Intermezzo: The Dirac Delta Function
8.3 The Momentum of a Particle
8.4 Mathematical Intermezzo: Fourier Transforms
8.5 The Energy of a Particle
8.6 39 The Scanning Tunnelling Microscope
8.7 39 A Brief Glance at Chemistry
9 Quantum Uncertainty
9.1 Quantum Uncertainty Revisited
9.2 Uncertainty Relations
9.3 Position-Momentum Uncertainty
9.4 Energy-Time Uncertainty
9.5 The Quantum Mechanical Pendulum
9.6 Schrödinger's Cat
9.7 39 Precision Measurements
10 The History of Quantum Mechanics
11 The Nature of Reality
11.1 The Quantum State Revisited
11.2 Nonlocality
11.3 Contextuality
11.4 A Compendium of Interpretations
11.4.1 The Copenhagen Interpretation
11.4.2 Quantum Bayesianism
11.4.3 Quantum Logic
11.4.4 Objective Collapse Theories
11.4.5 The de Broglie-Bohm Interpretation
11.4.6 Modal Interpretations
11.4.7 The Many Worlds Interpretation
11.4.8 Relational Quantum Mechanics
Preface to the Second Edition
Preface to the First Edition
Contents
List of Figures
1 Three Simple Experiments
1.1 The Purpose of Physical Theories
1.2 Experiment 1: A Laser and A Detector
1.3 Experiment 2: A Laser and A Beam Splitter
1.4 Experiment 3: The Mach-Zehnder Interferometer
1.5 The Breakdown of Classical Concepts
2 Photons and Interference
2.1 The State of a Physical System
2.2 Photon Paths and Superpositions
2.3 Mathematical Intermezzo: Matrix Multiplication
2.4 The Beam Splitter as a Matrix
2.5 Mathematical Intermezzo: Complex Numbers
2.6 The Phase in an Interferometer
2.7 Mathematical Intermezzo: Probabilities
2.8 How to Calculate Probabilities
2.9 Gravitational Wave Detection
2.10 A Quantum Bomb Detector
3 Electrons with Spin
3.1 The Stern-Gerlach Experiment
3.2 The Spin Observable
3.3 The Bloch Sphere
3.4 Uncertainty
3.5 The Magnitude of the Electron Spin
3.6 Photon Polarisation
3.7 39 Magnetic Resonance Imaging
4 Atoms and Energy
4.1 The Energy Spectrum of Atoms
4.2 Changes Over Time
4.3 The Hamiltonian
4.4 Interactions
4.5 Interaction Energy and the Zeeman Effect
4.6 39 The Atomic Clock
5 Operators
5.1 Eigenvalue Problems
5.2 Observables
5.3 Evolution
5.4 The Commutator
5.5 Projectors
6 Entanglement
6.1 The State of Two Electrons
6.2 Entanglement
6.3 Quantum Teleportation
6.4 Mathematical Intermezzo: Qubits and Computation
6.5 39 Quantum Computers
6.6 39 The No-Cloning Theorem and Quantum Cryptography
6.7 39 Entanglement Generation Over Large Distances
7 Decoherence
7.1 Classical and Quantum Uncertainty
7.2 The Density Matrix
7.3 Interactions with the Environment
7.4 Quantum Systems at Finite Temperature
7.5 39 Entropy and Landauer's Principle
7.6 39 Entanglement Measures
8 Motion of Particles
8.1 A Particle in a Box
8.2 Mathematical Intermezzo: The Dirac Delta Function
8.3 The Momentum of a Particle
8.4 Mathematical Intermezzo: Fourier Transforms
8.5 The Energy of a Particle
8.6 39 The Scanning Tunnelling Microscope
8.7 39 A Brief Glance at Chemistry
9 Quantum Uncertainty
9.1 Quantum Uncertainty Revisited
9.2 Uncertainty Relations
9.3 Position-Momentum Uncertainty
9.4 Energy-Time Uncertainty
9.5 The Quantum Mechanical Pendulum
9.6 Schrödinger's Cat
9.7 39 Precision Measurements
10 The History of Quantum Mechanics
11 The Nature of Reality
11.1 The Quantum State Revisited
11.2 Nonlocality
11.3 Contextuality
11.4 A Compendium of Interpretations
11.4.1 The Copenhagen Interpretation
11.4.2 Quantum Bayesianism
11.4.3 Quantum Logic
11.4.4 Objective Collapse Theories
11.4.5 The de Broglie-Bohm Interpretation
11.4.6 Modal Interpretations
11.4.7 The Many Worlds Interpretation
11.4.8 Relational Quantum Mechanics