Asymptotic and Semiclassical Methods

Distinguish between convergent and asymptotic series, and explain the utility of divergent series in physics.

Evaluate integrals approximately using the saddle-point (steepest descent) and stationary phase methods.

Apply the WKB method as a semiclassical approximation for quantum mechanical problems.

Solve singular perturbation problems by constructing and matching inner and outer solutions.

Apply resummation techniques (e.g., Padé approximants) to extract physical information from divergent series.