Results 21 to 30 of about 336,860 (179)

Understanding Noether’s Theorem by Visualizing the Lagrangian [PDF]

open access: yes, 2020
By approaching Lagrangian mechanics from a graphical perspective the implications of Noether’s Theorem can be made easier to understand. Plotting the Lagrangian for classical single particle systems for one coordinate onto a position-velocity phase space
Moser, Seth
core   +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

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

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

Fractional derivative generalization of Noether’s theorem

open access: yesOpen Mathematics, 2015
The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered.
Khorshidi Maryam   +2 more
doaj   +1 more source

Role of Noether’s Theorem at the Deconfined Quantum Critical Point [PDF]

open access: yes, 2019
Noether’s theorem is one of the fundamental laws of physics, relating continuous symmetries and conserved currents. Here we explore the role of Noether’s theorem at the deconfined quantum critical point (DQCP), which is a quantum phase transition beyond ...
Meng, ZY, You, YZ, Ma, N
core   +1 more source

ESHELBY’S INCLUSION THEORY IN LIGHT OF NOETHER’S THEOREM [PDF]

open access: yes, 2019
In a variational setting describing the mechanics of a hyperelastic body with defects or inhomogeneities, we show how the application of Noether’s theorem allows for obtaining the classical results by Eshelby.
MAWAFAG F. ALHASADI   +2 more
core   +1 more source

Anomalies in quantum field theories

open access: yesVojnotehnički Glasnik, 2023
Introduction/purpose: Noether’s theorem connects symmetry of the Lagrangian to conserved quantities. Quantum effects cancel the conserved quantities. Methods: Triangle diagram, Path integral, Pauli-Villars regularisation. Results: Quantum effects that
Nicola Fabiano
doaj   +1 more source

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