The Path Integral Formulation is a method in quantum mechanics that describes the behavior of particles by considering all possible paths they can take between two points. Instead of focusing on a single trajectory, this approach sums over every conceivable path, weighing each one by a factor called the action, which is derived from the Lagrangian of the system. This allows for a more comprehensive understanding of quantum phenomena. Developed by Richard Feynman in the 1940s, the Path Integral Formulation provides a powerful framework for calculating probabilities and predicting outcomes in quantum systems. It connects classical mechanics with quantum mechanics, illustrating how classical paths emerge from the quantum realm when certain conditions are met.