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Quantum Mechanics III
An advanced course on quantum mechanics, covering scattering and resonances, multi-particle quantum mechanics, and the basics of quantum field theory. Python source files for the numerical examples are available on Github (GPLv3).
- Author
- Y. D. Chong
- Publisher
- Nanyang Technological University
- Source
- LibreTexts
- License
- CC BY-SA
- Language
- EN
- Category
- Basic Sciences
Contents· 46 sections
- 01: Scattering Theory
- 1.01: Scattering Experiments on Quantum Particles
- 1.02: Recap- Position and Momentum States
- 1.03: Scattering From A 1D Delta-Function Potential
- 1.04: Scattering in 2D and 3D
- 1.05: The Scattering Amplitude and Scattering Cross Section
- 1.06: The Green's Function
- 1.07: The Green's Function for a Free Particle
- 1.08: Scattering Amplitudes in 3D
- 1.09: Example- Uniform Spherical Well in 3D
- 1.10: Exercises
- 02: Resonances
- 2.01: Bound States and Free States
- 2.02: Quasi-Bound States and Resonances
- 2.03: Green's Function Analysis of Scattering Resonances
- 2.04: Fermi's Golden Rule
- 2.05: Fermi's Golden Rule in a 1D Resonance Model
- 2.06: Exercises
- 03: Quantum Entanglement
- 3.01: Quantum States of Multi-Particle Systems
- 3.02: Partial Measurements
- 3.03: The Einstein-Podolsky-Rosen Paradox
- 3.04: Bell's Theorem
- 3.05: Quantum Cryptogaphy
- 3.06: Density Operators
- 3.07: Entanglement Entropy
- 3.08: The Many Worlds Interpretation
- 3.09: Exercises
- 04: Identical Particles
- 4.01: Particle Exchange Symmetry
- 4.02: Symmetric and Antisymmetric States
- 4.03: Second Quantization
- 4.04: Quantum Field Theory
- 4.05: Exercises
- 05: Quantum Electrodynamics
- 5.01: Quantization of the Lorentz Force Law
- 5.02: Dirac's Theory of the Electron
- 5.03: Quantizing The Electromagnetic Field
- 5.04: The Electron-Photon Interaction
- 5.05: Exercises
- 06: Appendices
- 6.01: A- Partial Wave Analysis
- 6.02: B- The Transfer Matrix Method
- 6.03: C- Entropy
- 6.04: D- Numerical Tensor Products
- 6.05: E- Coherent States