Quantum Mechanics
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- Book: Introductory Quantum Mechanics (Fitzpatrick)
- 1: Probability Theory
- 2: Wave-Particle Duality
- 2.1: Wavefunctions
- 2.2: Plane-Waves
- 2.3: Representation of Waves via Complex Functions
- 2.4: Classical Light-Waves
- 2.5: Photoelectric Effect
- 2.6: Quantum Theory of Light
- 2.7: Classical Interferences of Light Waves
- 2.8: Quantum Interference of Light
- 2.9: Particles
- 2.10: Wave-Packets
- 2.11: Evolution of Wave-Packets
- 2.12: Schrodinger's Equation and Wavefunction Collapse
- 2.13: Exercises
- 3: Fundamentals of Quantum Mechanics
- 3.1: Schrodinger's Equation
- 3.2: Normalization of the Wavefunction
- 3.3: Expectation Values (Averages) and Variances
- 3.4: Ehrenfest's Theorem
- 3.5: Operators
- 3.6: Momentum Representation
- 3.7: Heisenberg's Uncertainty Principle
- 3.8: Eigenstates and Eigenvalues
- 3.9: Measurement
- 3.10: Stationary States
- 3.11: Exercises
- 4: One-Dimensional Potentials
- 5: Multi-Particle Systems
- 6: Three-Dimensional Quantum Mechanics
- 7: Orbital Angular Momentum
- 8: Central Potentials
- 9: Spin Angular Momentum
- 10: Addition of Angular Momentum
- 11: Time-Independent Perturbation Theory
- 12: Time-Dependent Perturbation Theory
- 12.1: Preliminary Analysis
- 12.2: Two-State System
- 12.3: Spin Magnetic Resonance
- 12.4: Perturbation Expansion
- 12.5: Harmonic Perturbation
- 12.6: Electromagnetic Radiation
- 12.7: Electric Dipole Approximation
- 12.8: Spontaneous Emission
- 12.9: Radiation from Harmonic Oscillator
- 12.10: Selection Rules (Hydrogen Atoms)
- 12.11: 2P-1S Transitions in Hydrogen
- 12.12: Intensity Rules
- 12.13: Forbidden Transitions
- 12.E: Time-Dependent Perturbation Theory (Exercises)
- 13: Variational Methods
- 14: Scattering Theory
- Bibliography
- Introduction
- Book: Quantum Mechanics (Fowler)
- 1: Reviewing Elementary Stuff
- 2: Some Essential Math
- 3: Mostly 1-D Quantum Mechanics
- 3.1: 1-D Schrödinger Equation - Example Systems
- 3.2: General Uncertainty Principal
- 3.3 Energy-Time Uncertainty Principle
- 3.4 The Simple Harmonic Oscillator
- 3.5: Propagators and Representations
- 3.6: Coherent States
- 3.7: Path Integrals
- 3.8: Path Integrals for the SHO
- Appendix: Some Exponential Operator Algebra
- 4: Angular Momentum, Spin and the Hydrogen Atom
- 5: Interlude - The Nature of Electrons
- 6: Charged Particle in Magnetic Field
- 7: The Density Matrix
- 8: Approximate Methods
- 9: Perturbation Theory
- 10: Scattering Theory
- 11. Other Material
Thu, 02 Feb 2017 19:41:14 GMT
Quantum Mechanics