QM7 · Time-dependent phenomena
A 25-module path through qm7 · time-dependent phenomena, in study order from foundations to the frontier.
Modules
- The Interaction Picture and Time-Dependent Hamiltonians
- Time-Dependent Perturbation Theory: General Formalism
- First-Order Transition Amplitudes and Probabilities
- Dyson Series and the Time-Ordered Evolution Operator
- Harmonic (Sinusoidal) Perturbations and Resonance
- Fermi's Golden Rule
- Density of Final States
- Constant Perturbation Switched On
- Transition Probability for a Periodic Two-Level System
- Semiclassical Theory of Atom–Radiation Interaction
- The Dipole Approximation
- Absorption and Stimulated Emission
- Spontaneous Emission and the Einstein A Coefficient
- Electric Dipole Selection Rules
- Forbidden Transitions: Magnetic Dipole and Electric Quadrupole
- Lifetime, Linewidth, and Natural Broadening
- The Adiabatic Theorem
- Adiabatic Approximation and Validity Conditions
- Geometric (Berry) Phase
- Berry Connection and Berry Curvature
- Aharonov–Anandan Phase and Non-Adiabatic Generalizations
- The Sudden Approximation
- Beta Decay and Atomic Shake-Up as Sudden Processes
- Landau–Zener Transitions
- Charged Particle in an Electromagnetic Field: Minimal Coupling