Theoretical / proof-based
Quantum mechanics II · Graduate · Physics
Topics
Formal structure
- Axioms, observables, and spectral measures
- Time evolution: Schrödinger vs Heisenberg pictures
- Density operators and entanglement
- Path integrals and coherent states
- Berry phase and geometric phases
Scattering and approximation
- Partial wave analysis and phase shifts
- Born approximation and T-matrix
- Optical theorem and unitarity
- Time-dependent perturbation theory and Fermi's golden rule
- WKB and semiclassical methods
Many-body and symmetry
- Second quantization for fermions and bosons
- Angular momentum addition and Wigner–Eckart
- Identical particles and permutation symmetry
- Introduction to relativistic QM and Dirac equation
- Supersymmetric QM toy models (optional)
Pricing
Graduate-level rates are set on consultation. See the pricing page for K–12 and undergraduate rates.