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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

  1. 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
  2. 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
  3. 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
  4. 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