Results 11 to 20 of about 232 (162)

Symmetry Methods and Conservation Laws for the Nonlinear Generalized 2D Equal-Width Partial Differential Equation of Engineering

open access: yesMathematics, 2021
In this work, we study the generalized 2D equal-width equation which arises in various fields of science. With the aid of numerous methods which includes Lie symmetry analysis, power series expansion and Weierstrass method, we produce closed-form ...
Chaudry Masood Khalique, Karabo Plaatjie
doaj   +1 more source

A Stochastic Version of the Noether Theorem [PDF]

open access: yesFoundations of Physics, 2018
A stochastic version of the Noether Theorem is derived for systems under the action of external random forces. The concept of moment generating functional is employed to describe the symmetry of the stochastic forces. The theorem is applied to two kinds of random covariant forces.
Alfredo González Lezcano   +1 more
openaire   +3 more sources

Diffeomorphism Covariance of the Canonical Barbero–Immirzi–Holst Triad Theory

open access: yesUniverse, 2023
The vanishing phase space generator of the full four-dimensional diffeomorphism-related symmetry group in the context of the Barbero–Immirz–Holst Lagrangian is derived directly, for the first time, from Noether’s second theorem.
Donald Salisbury
doaj   +1 more source

Generalized symmetries and Noether’s theorem in QFT

open access: yesJournal of High Energy Physics, 2022
We show that generalized symmetries cannot be charged under a continuous global symmetry having a Noether current. Further, only non-compact generalized symmetries can be charged under a continuous global symmetry.
Valentin Benedetti   +2 more
doaj   +1 more source

Variance of fluctuations from Noether invariance

open access: yesCommunications Physics, 2022
Noether’s theorem allows to find conservation laws corresponding to the symmetries of the system. The authors theoretically derive an exact relation of the variance of external force in statistical mechanics, using Noether invariance, providing a ...
Sophie Hermann, Matthias Schmidt
doaj   +1 more source

Noether’s theorem for Herglotz type variational problems utilizing complex fractional derivatives [PDF]

open access: yesTheoretical and Applied Mechanics, 2021
This is a review article which elaborates the results presented in [1], where the variational principle of Herglotz type with a Lagrangian that depends on fractional derivatives of both real and complex orders is formulated and the invariance of this ...
Janev Marko   +2 more
doaj   +1 more source

A new perspective on spacetime 4D rotations and the SO(4) transformation group

open access: yesResults in Physics, 2019
In quantum field theory, every conservation law is enforced by adequate symmetries. The Lorentz group, which represents two continuous symmetries: rotations in 3D Euclidean space and Lorentz boosts, generates conservation of the angular momentum tensor ...
Mikołaj Myszkowski
doaj   +1 more source

On the Noether theorem for optimal control [PDF]

open access: yes2001 European Control Conference (ECC), 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

The Noether Theorems in Context

open access: yes, 2022
23 pages, to be published in "The Philosophy and Physics of Noether's Theorems", Nicholas Teh, James Read and Bryan Roberts, eds, Cambridge University ...
openaire   +2 more sources

Noether’s theorem and the Willmore functional [PDF]

open access: yesAdvances in Calculus of Variations, 2015
Abstract Noether’s theorem and the invariances of the Willmore functional are used to derive conservation laws that are satisfied by the critical points of the Willmore energy subject to generic constraints. We recover in particular previous results independently obtained by R. Capovilla and J. Guven, and by T. Rivière.
openaire   +4 more sources

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