QM6 · Approximation methods
A 30-module path through qm6 · approximation methods, in study order from foundations to the frontier.
Modules
- Non-Degenerate Time-Independent Perturbation Theory
- First-Order Energy and State Corrections
- Second-Order Energy Correction
- Degenerate Perturbation Theory
- Good Quantum Numbers and Symmetry-Adapted Bases
- Brillouin-Wigner Perturbation Theory
- Relativistic Kinetic Energy Correction
- Spin-Orbit Coupling
- Darwin Term
- Fine Structure of Hydrogen
- Lamb Shift
- Zeeman Effect
- Weak-Field (Anomalous) Zeeman Effect
- Strong-Field Paschen-Back Effect
- Landé g-Factor
- Stark Effect
- Linear Stark Effect in Hydrogen
- Quadratic Stark Effect and Polarizability
- Hyperfine Structure
- 21-cm Hydrogen Line
- The Variational Principle
- Variational Method with Trial Wavefunctions
- Ritz Variational Method and Excited States
- Variational Treatment of Helium
- The WKB Approximation
- WKB Quantization and the Bohr-Sommerfeld Condition
- WKB Connection Formulae
- WKB Tunneling and the Gamow Factor
- Validity and Breakdown of WKB
- The Hellmann-Feynman Theorem