principle of least action
action principle

This is a special case of the principle of least action at work.

One corresponding concept in mechanics is the principle of least action.

This article discusses the history of the principle of least action.

Finally, he added the principle of least action.

Of course the cosmos also tended to operate on the principle of least action.

In Harshaw's opinion the principle of least action required that utility and beauty be combined.

Connection of Appell's formulation with the principle of least action.

The geodesic equation and the field equation are related through a principle of least action.

It is closely related to many other similar principles: see Principle of least action or other articles listed below.

The principle of least action in mechanics, electromagnetic theory, and quantum mechanics.

A major advance came in 1788 with the development of Lagrangian mechanics, which is related to the principle of least action.

The principle of least action states that in all natural phenomena a quantity called 'action' tends to be minimized.

And the beauty of his principle of least action was that it applied just as well to hard and elastic bodies.

So self-consistency is a consequence of the principle of least action, and nature can be seen to abhor a time travel paradox.

Maupertuis adapted Leibnitz's ideas as the principle of least action that nature minimizes action.

This is less restrictive than a variational formulation (based on the principle of least action) to obtain the equations for the quantum fields.

Virtual work arises in the application of the principle of least action to the study of forces and movement of a mechanical system.

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.

In 1948, Feynman discovered the path integral formulation extending the principle of least action to quantum mechanics for electrons and photons.

In this way, Fermat is recognized as a key figure in the historical development of the fundamental principle of least action in physics.

König is remembered largely for his disagreements with Leonhard Euler, concerning the principle of least action.

Crucially, Dirac identified in this paper the deep quantum mechanical reason for the principle of least action controlling the classical limit (see quote box).

(See principle of least action.)

Hamilton's principle and Maupertuis' principle are occasionally confused and both have been called the principle of least action.

In this way, Newtonian mechanics as well as quantum mechanics are derived from Hamilton's principle of least action.