Noether's theorem

(redirected from Noether theorem)
Also found in: Encyclopedia.

Related to Noether theorem: Emmy Noether

Noe·ther's theorem

(nŭ′tərs, nœ′-)

The theorem stating that any differentiable symmetry is associated with a conservation law. For example, rotational symmetry implies the conservation of angular momentum.

[After Amalie Noether.]

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

References in periodicals archive ?

By extending to the fifth dimension, the Noether theorem induces an additional conserved scalar quantity which is readily identified with the electric charge q.

A Symplectic Cosmological Model

obtained a generalization of the Noether theorem for Lagrangians depending on mixed classical and Caputo derivatives that can be used to obtain constants of motion for dissipative systems.

Variational Problems with Partial Fractional Derivative: Optimal Conditions and Noether's Theorem

Thanks to the Noether theorem, if vector field X is a Noether gauge symmetry corresponding to the Lagrangian L, then the following equivalent is a first integral (i.e., conserved quantities of the system) associated with X:

Dirac Field as a Source of the Inflation in 2 + 1 Dimensional Teleparallel Gravity