QM3 · Quantum dynamics
A 23-module path through qm3 · quantum dynamics, in study order from foundations to the frontier.
Modules
- The Time-Evolution Operator
- Time-Dependent Schrodinger Equation
- Stationary States and Energy Eigenstates
- Spectral Decomposition of Time Evolution
- Time-Ordered Exponential and the Dyson Series
- The Schrodinger Picture
- The Heisenberg Picture
- The Heisenberg Equation of Motion
- The Interaction (Dirac) Picture
- Equivalence of the Dynamical Pictures
- Ehrenfest's Theorem (QM3)
- Constants of the Motion and Conservation Laws
- Symmetries and Conservation in Quantum Dynamics
- The Quantum Propagator
- Propagator for the Free Particle and Gaussian Spreading
- Propagator for the Harmonic Oscillator
- Green Functions in Quantum Mechanics
- Retarded and Advanced Green Functions
- The Energy-Time Uncertainty Relation
- Mandelstam-Tamm Bound and Evolution Timescales
- Quantum Zeno Effect
- Survival Amplitude and Decay of Unstable States
- Time Reversal in Quantum Dynamics