Quantum Mechanics: Path Integral Representation

This lecture covers the path integral representation in quantum mechanics, starting with the evolution of a Gaussian wave packet according to classical equations of motion. It then delves into the Feynman path integral, Planck's reminder, and the classical analytical mechanics. The lecture also explores the Hamiltonian formalism, Lagrangian formalism, and the dynamics of systems described by Lagrangian. The instructor discusses the trajectory in phase space, the action principle, and the evolution amplitude. The lecture concludes with the simplification of expressions and the final form of the results.