# Principle of Least Action

Jump to navigation
Jump to search

## Physical Law

The **Principle of Least Action** is a physical law which states the following:

Let $S$ be a dynamical system moving under conservative forces from point $A$ to point $B$.

The motion of $S$ takes place in such a way that the action has a stationary value with respect to all other possible trajectories from $A$ to $B$ with the same kinetic plus potential energy.

## Proof

This theorem requires a proof.You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.To discuss this page in more detail, feel free to use the talk page.When this work has been completed, you may remove this instance of `{{ProofWanted}}` from the code.If you would welcome a second opinion as to whether your work is correct, add a call to `{{Proofread}}` the page. |

## Historical Note

The **Principle of Least Action** was first put forward by Pierre Louis Moreau de Maupertuis in $1744$, and since modified.

## Sources

- 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next):**least action, principle of** - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next):**least action, principle of**