Unit 1 · 0/5 Wave Mechanics Revisited
1.1 this The Variational Principle 1.2 opens Gaussian Trial Functions 1.3 opens Every Attractive Well Has a Bound State 1.4 Bound States in One Dimension Are Real and Nondegenerate 1.5 opens The Hellmann–Feynman Theorem Quantum Physics II, Extended
Unit 2 · 0/6 Spin One-Half
2.1 The Stern–Gerlach Experiment 2.2 Spin States as Vectors in Two Complex Dimensions 2.3 Stern–Gerlach Filters in Sequence 2.4 The Pauli Matrices 2.5 Spin Along Any Direction 2.6 The Bloch Sphere Unit 3 · 0/6 Vector Spaces and Linear Operators
3.1 Complex Vector Spaces 3.2 Linear Operators and Their Matrices 3.3 Commutators 3.4 Inner Products and Orthonormal Bases 3.5 Adjoints, Hermitian and Unitary Operators 3.6 The Spectral Theorem Unit 4 · 0/6 Dirac Notation
4.1 Bras and Kets 4.2 Outer Products and Projectors 4.3 Completeness and the Resolution of the Identity 4.4 Matrix Elements and Change of Basis 4.5 Position and Momentum States 4.6 Functions of Operators Unit 5 · 0/5 Uncertainty and Compatible Observables
5.1 Uncertainty as the Length of a Vector 5.2 The Robertson Uncertainty Relation 5.3 Energy–Time Uncertainty 5.4 Ground-State Energies from Uncertainty 5.5 Compatible Observables and Complete Sets Unit 6 · 0/6 Quantum Dynamics
6.1 Unitary Time Evolution and the Hamiltonian 6.2 The Heisenberg Picture 6.3 Heisenberg's Equations and Ehrenfest's Theorem 6.4 The Oscillator in the Heisenberg Picture 6.5 Coherent States 6.6 Squeezed States Quantum Physics II, Extended Unit 7 · 0/6 Two-State Systems
7.1 Two-State Hamiltonians as a Spin in a Field 7.2 Larmor Precession 7.3 The Ammonia Molecule in an Electric Field 7.4 The Ammonia Maser Quantum Physics II, Extended 7.5 Rabi Oscillations 7.6 Nuclear Magnetic Resonance Unit 8 · 0/6 Tensor Products and Entanglement
8.1 Tensor Products of State Spaces 8.2 Operators on Two Particles 8.3 Entangled States 8.4 Measuring Half of an Entangled Pair 8.5 Bell's Inequality 8.6 Quantum Teleportation Quantum Physics II, Extended Unit 9 · 0/7 Angular Momentum
9.1 The Angular Momentum Algebra 9.2 Multiplets and Half-Integer Spin 9.3 Spin-One Matrices 9.4 Rotation Operators and the Spinor's Sign 9.5 The Free Particle and the Spherical Well 9.6 The Three-Dimensional Isotropic Oscillator 9.7 Hydrogen's Hidden Symmetry and the Runge–Lenz Vector Quantum Physics II, Extended Unit 10 · 0/7 Addition of Angular Momentum and Identical Particles
10.1 Adding Two Spins: Triplet and Singlet 10.2 Adding Any Two Angular Momenta 10.3 Clebsch–Gordan Coefficients 10.4 Spin–Orbit Coupling 10.5 Hyperfine Splitting and the 21-cm Line Quantum Physics II, Extended 10.6 Identical Particles and Exchange Symmetry 10.7 Bosons, Fermions and the Pauli Principle