1CHAPTER 1 Introduction to Quantum Mechanics
528.2. Spin Wave Functions and Operators
21.1. Historical background
538.3. The Addition of Angular Momenta
31.2. The need for a new mechanics
548.4. The Spin-Orbit Interaction
41.3. Wave-particle duality
558.5. Applications and Examples
51.4. The uncertainty principle
569.1. The time-independent perturbation theory
61.5. The quantum world
579.2. Non-degenerate perturbation theory
7CHAPTER 2 Mathematical Prerequisites
589.3. Degenerate perturbation theory
82.1. Complex Numbers
599.4. The variational method
92.2. Linear Algebra
609.5. The WKB approximation
102.3. Vector Spaces
61CHAPTER 10 Identical Particles
112.4. Differential Equations
6210.1. The principle of Indistinguishability
122.5. Fourier Analysis
6310.2. Bosons and fermions
132.6. Probability Theory
6410.3. Symmetric and antisymmetric wavefunctions
14CHAPTER 3 The Schrödinger Equation
6510.4. The Pauli Exclusion Principle
153.1. The wave function
6610.5. Applications and Examples
163.2. The time-dependent Schrödinger equation
67CHAPTER 11 Molecular Quantum Mechanics
173.3. The time-independent Schrödinger equation
6811.1. The Born-Oppenheimer approximation
183.4. Stationary states
6911.2. Molecular orbitals
193.5. Boundary conditions
7011.3. Valence bond theory
203.6. Normalization
7111.4. Computational methods
213.7. The Particle in a Box
7211.5. Applications and examples
223.8. The Harmonic Oscillator
73CHAPTER 12 Quantum Statistics
233.9. The Hydrogen Atom
7412.1. The Maxwell-Boltzmann distribution
243.10. The Schrödinger Equation in Three Dimensions
7512.2. The Bose-Einstein distribution
253.11. Numerical Methods for Solving the Schrödinger Equation
7612.3. The Fermi-Dirac distribution
26CHAPTER 4 The Free Particle
7712.4. Blackbody radiation
274.1. The free particle in one dimension
7812.5. Applications and examples
284.2. The free particle in three dimensions
79CHAPTER 13 Quantum Optics
294.3. Probability density and current
8013.1. The quantization of the electromagnetic field
304.4. Wave packets and dispersion
8113.2. Coherent states and the laser
314.5. Uncertainty relations
8213.3. Spontaneous and stimulated emission
32CHAPTER 5 The Particle in a Box
8313.4. Photon statistics
335.1. The infinite square well potential
8413.5. Applications and examples
345.2. Energy levels and wavefunctions
85CHAPTER 14 Solid State Physics
355.3. The finite square well potential
8614.1. Crystalline solids
365.4. Tunnelling and barrier penetration
8714.2. Band theory
375.5. Applications and examples
8814.3. Semiconductors
38CHAPTER 6 The Harmonic Oscillator
8914.4. Superconductivity
396.1. The Classical Harmonic Oscillator
9014.5. Applications and examples
406.2. The Quantum Harmonic Oscillator
91CHAPTER 15 Relativistic Quantum Mechanics
416.3. Energy Levels and Wavefunctions
9215.1. The Dirac equation
426.4. Ladder Operators
9315.2. The Klein-Gordon equation
436.5. Coherent States
9415.3. Antimatter and the positron
44CHAPTER 7 The Hydrogen Atom
9515.4. Relativistic quantum fields
457.1. The Coulomb Potential
9615.5. Applications and examples
467.2. The Schrödinger Equation for Hydrogen
97CHAPTER 16 Quantum Information and Computation
477.3. Radial Wavefunctions
9816.1. Qubits and quantum circuits
487.4. Angular Wavefunctions and Quantum Numbers
9916.2. Quantum algorithms
497.5. Energy Levels and Spectra
10016.3. Quantum cryptography
50CHAPTER 8 Spin and AngularMomentum
10116.4. Quantum error correction
518.1. The Concept of Spin
