Results 11 to 20 of about 9,958 (153)

Bogomolov multipliers for some $p$-groups of nilpotency class 2 [PDF]

open access: yes, 2016
The Bogomolov multiplier $B_0(G)$ of a finite group $G$ is defined as the subgroup of the Schur multiplier consisting of the cohomology classes vanishing after restriction to all abelian subgroups of $G$.
Michailov, Ivo M.
core   +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

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

Applications of Noether conservation theorem to Hamiltonian systems [PDF]

open access: yes, 2016
The Noether theorem connecting symmetries and conservation laws can be applied directly in a Hamiltonian framework without using any intermediate Lagrangian formulation.
Mouchet, Amaury
core   +3 more sources

Extensions of Noether's Second Theorem: from continuous to discrete systems [PDF]

open access: yes, 2011
A simple local proof of Noether's Second Theorem is given. This proof immediately leads to a generalization of the theorem, yielding conservation laws and/or explicit relationships between the Euler--Lagrange equations of any variational problem whose ...
Dorodnitsyn V.   +2 more
core   +2 more sources

The Concept of Symmetry and the Theory of Perception

open access: yesFrontiers in Computational Neuroscience, 2021
Perceptual constancy refers to the fact that the perceived geometrical and physical characteristics of objects remain constant despite transformations of the objects such as rigid motion.
Zygmunt Pizlo, J. Acacio de Barros
doaj   +1 more source

Noether's Symmetry Theorem for Variational and Optimal Control Problems with Time Delay [PDF]

open access: yes, 2012
We extend the DuBois-Reymond necessary optimality condition and Noether's symmetry theorem to the time delay variational setting. Both Lagrangian and Hamiltonian versions of Noether's theorem are proved, covering problems of the calculus of variations ...
D. F. M. Torres   +23 more
core   +2 more sources

Electric–magnetic symmetry and Noether's theorem

open access: yesNew Journal of Physics, 2012
In the absence of charges, Maxwell's equations are highly symmetrical. In particular, they place the electric and magnetic fields on equal footing.
Robert P Cameron, Stephen M Barnett
doaj   +1 more source

On the structure of conservation laws of (3+1)-dimensional wave equation

open access: yesArab Journal of Mathematical Sciences, 2018
In this paper, a (3+1)-dimensional wave equation is studied from the point of view of Lie’s theory in partial differential equations including conservation laws.
S. Reza Hejazi, Elham Lashkarian
doaj   +1 more source

About Lie algebra classification, conservation laws, and invariant solutions for the relativistic fluid sphere equation

open access: yesRevista Integración, 2023
The optimal generating operators for the relativistic fluid sphere equation have been derived. We have characterized all invariant solutions of this equation using these operators.
Yeisson Alexis Acevedo Agudelo   +3 more
doaj   +1 more source

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