Quantum Physics

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. 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