Quantum mechanics II
Graduate · Physics
Syllabus focus
Topics typically covered
Theoretical / proof-based
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)
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Formal structure
Axioms, observables, and spectral measures
Coming soon - Scattering and approximation
Partial wave analysis and phase shifts
Coming soon - Many-body and symmetry
Second quantization for fermions and bosons
Coming soon
Notes
Topics reflect common graduate physics core and elective syllabi at US universities. Sequencing and emphasis vary between one- and two-semester treatments.