PHYS 212A: Quantum Mechanics I

Lecture Notes

• Postulates
• Simple Hamiltonians
• Introductory quantum dynamics
• Tensor product of Hilbert spaces
• Density matrices and entanglement
• Introduction to angular momentum
• Precession and resonance in a quantum top
• Spectrum of a quantum top
• Spherical harmonics
• Adding angular momentum
• Tensor operators and their uses
• Introduction to perturbation theory
• A few applications of non-degenerate perturbation theory
• Effective Hamiltonians for nearly degenerate spectrum
• Hydrogen atom spectrum
• Hydrogen atom in electric field
• Hydrogen atom in magnetic field