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This lecture covers the semi-classical propagator, focusing on the perturbative analysis of decoupled copies of the same system. The instructor discusses the semiclassical approximation when the particle's wavelength is much shorter than the potential's length scale, leading to dynamics described by classical motion. Various approximation methods and formulas are presented, including the Van Vleck-Pauli-Morette formula. The lecture delves into the semiclassical methods and the derivation of the propagator, emphasizing the importance of understanding the dynamics in quantum physics.