He showed that the transformations are a consequence of the principle of least action and developed the properties of the Poincar?stresses.
12.
In 1948, Feynman discovered the path integral formulation extending the principle of least action to quantum mechanics for electrons and photons.
13.
For this, Fermat is recognized as a key figure in the historical development of the fundamental principle of least action in physics.
14.
Finally, because the time average of energy is action, the principle of minimum variational free energy is a principle of least action.
15.
In classical mechanics the principle of least action is used to derive Newton's laws of motion and is the basis for Lagrangian dynamics.
16.
When considering forces applied to a body in static equilibrium, the principle of least action requires the virtual work of these forces to be zero.
17.
Crucially, Dirac identified in this paper the deep quantum mechanical reason for the principle of least action controlling the classical limit ( see quotation box ).
18.
The principle of least action states that the world line between two events in spacetime is that world line that minimizes the action between the two events.
19.
After the Lapland expedition, Maupertuis set about generalizing his earlier mathematical work, proposing the principle of least action as a metaphysical principle that underlies all the laws of mechanics.
20.
The principle of least action can be used to derive the conservation of momentum and energy if its symmetry in space and time are assumed ( see Noether's theorem ).
