- This article discusses the history of the principle of least action. For the application, please refer to action (physics).
The
principle of least action – or, more accurately, the
principle of stationary action – is a
variational principle that, when applied to the
action of a
mechanical system, can be used to obtain the
equations of motion for that system. In relativity, a different action must be minimized or maximized. The principle can be used to derive
Newtonian,
Lagrangian,
Hamiltonian equations of motion, and even
General Relativity. It was historically called "least" because its solution requires finding the path that has the least change from nearby paths. Its classical mechanics and electromagnetic expressions are a consequence of quantum mechanics, but the stationary action method helped in the development of quantum mechanics.