The core idea of path integrals is to express the partition function of a system as an integral over all possible paths that the system can take between its initial and final states. For a particle moving from point A to point B, the path integral formulation involves: 1. Discretizing the time interval into small segments. 2. Representing each segment by a possible position of the particle. 3. Summing over all possible paths to calculate the overall probability.
