Physics · self-study course
Advanced physics methods and spacetime
Explore perturbation theory, scattering, variational quantum estimates and a conceptual bridge to general relativity.
4 lessons32 quiz questionsAdvanced university
Your learning path
- 01
Perturbation theory and approximation checks
Write H=H0+λV and expand observables or states about a solvable reference problem. Small λ is useful only relative to relevant spectral scales.
Advanced university · Notes · 8 questions - 02
Scattering, currents and probability conservation
Scattering models compare incoming and outgoing waves far from a localized interaction. Boundary conditions identify which waves are physically incident.
Advanced university · Notes · 8 questions - 03
Variational bounds and trial states
For a normalized trial state in the Hamiltonian domain, the expectation of a Hamiltonian bounded below is at least its ground energy.
Advanced university · Notes · 8 questions - 04
Curved spacetime and the scope of general relativity
General relativity relates spacetime geometry to stress-energy. The metric determines spacetime intervals and causal structure.
Advanced university · Notes · 8 questions