In [[classical mechanics]], the Least Action Principle states that the motion of a particle along some path always minimizes the difference between its [[kinetic energy]] and its [[potential energy]]. Mathematically, the motion of a particle always minimizes the Lagrangian action functional. | In [[classical mechanics]], the Least Action Principle states that the motion of a particle along some path always minimizes the difference between its [[kinetic energy]] and its [[potential energy]]. Mathematically, the motion of a particle always minimizes the Lagrangian action functional. |