This set of notes covers a 3 quarter advanced undergraduate quantum physics course at UCSD, from the beginning of Quantum Mechanics to the quantization of the electromagnetic field and the Dirac equation. An important aspect of this note is to maintain a concise basic treatment of the physics. Topics covered includes: The Problems with Classical Physics, Diffraction, Wave Packet, Operators, The Schrödinger Equation, Eigenfunctions, Eigenvalues and Vector Spaces, 3D Problems Separable in Cartesian Coordinates and so on.
Author(s): Branson J. G.
Publisher: UCSD (University of California San Diego)
Year: 2003
Language: English
Pages: 548
City: San Diego
1. Course Summary
2. The Problems with Classical Physics
3. Diffraction
4. The Solution: Probability Amplitudes
5. Wave Packets
6. Operators
7. The Schrödinger Equation
8. Eigenfunctions, Eigenvalues and Vector Spaces
9. One Dimensional Potentials
10. Harmonic Oscillator Solution using Operators
11. More Fun with Operators
12. Extending QM to Two Particles and Three Dimensions
13. 3D Problems Separable in Cartesian Coordinates
14. Angular Momentum
15. The Radial Equation and Constant Potentials
16. Hydrogen
17. 3D Symmetric HO in Spherical Coordinates
18. Operators Matrices and Spin
19. Homework Problems
20. Electrons in an Electromagnetic Field
21. Addition of Angular Momentum
22. Time Independent Perturbation Theory
23. Fine Structure in Hydrogen
24. Hyperfine Structure
25. The Helium Atom
26. Atomic Physics
27. Molecular Physics
28. Time Dependent Perturbation Theory
29. Radiation in Atoms
30. Scattering
31. Classical Scalar Fields
32. Classical Maxwell Fields
33. Quantum Theory of Radiation
34. Scattering of Photons
35. Electron Self Energy Corrections
36. Dirac Equation
37. Formulas