Results 81 to 90 of about 336,860 (179)

Covariant conservation laws, local invariance and Noether’s second theorem

open access: yesEuropean Physical Journal C: Particles and Fields
We lay down a set of requirements for a field theory to produce a covariant conservation law out of Noether’s second theorem, and show that neither local invariance implies a covariant conservation law, nor the existence of a covariant conservation law ...
Nuno Barros e Sá   +2 more
doaj   +1 more source

A geometric approach to the generalized Noether theorem

open access: yes, 2021
We provide a geometric extension of the generalized Noether theorem for scaling symmetries recently presented by Zhang P-M et al (2020 Eur. Phys. J. Plus 135 223).
Garcia-Chung A   +3 more
core   +1 more source

Symbolic computation of variational symmetries in optimal control [PDF]

open access: yes, 2006
We use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noether's first integrals, possibly in the presence of nonconservative ...
André Gomes-dos-Santos   +17 more
core   +3 more sources

Equivariance, Variational Principles, and the Feynman Integral

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral.
George Svetlichny
doaj  

Exact solutions of equal-width equation and its conservation laws

open access: yesOpen Physics, 2019
In this work we investigate the equal-width equation, which is used for simulation of (1-D) wave propagation in non-linear medium with dispersion process.
Khalique Chaudry Masood   +2 more
doaj   +1 more source

Classical Mechanics and Symplectic Integration [PDF]

open access: yes, 2005
Content: Classical mechanics: Calculus of variations, Lagrange’s equations, Symmetries and Noether’s theorem, Hamilton’s equations, cannonical transformations, integrable systems, pertubation theory.
Hjorth, Poul G., Nordkvist, Nikolaj
core  

Dual Spacelike Elastic Biharmonic Curves with Timelike Principal Normal According to Dual Bishop Frames

open access: yes, 2011
In this paper, we study dual spacelike elastic biharmonic curves with spacelike binormal in dual Lorentzian space D31. We use Noether’s Theorem in our main theorem.
Talat KORPINAR, Essin TURHAN
core   +1 more source

Noether\u27s Theorem: Symmetry and Conservation [PDF]

open access: yes, 2016
A common calculus problem is to find an input that optimizes (maximizes or minimizes) a function. An extension of this problem is to find a function that optimizes an expression depending on the function.
Johnson, Tristan
core  

Birkhoff's Theorem from a geometric perspective: A simple example [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2016
‎From Hilbert's theorem of zeroes‎, ‎and from Noether's ideal theory‎, ‎Birkhoff derived certain algebraic concepts (as explained by Tholen) that have a dual significance in general toposes‎, ‎similar to their role in the original examples of algebraic ...
F. William Lawvere
doaj  

Covariant Canonical Method for Yang-Mills Theory Expressed as a Constrained BF-Like Theory

open access: yesAdvances in Mathematical Physics, 2012
The covariant canonical analysis for Yang-Mills theory expressed as a BF-like action is performed. We study a BF-like action, that in spite of being the coupling of two topological terms, yield, on shell to Yang-Mills action.
Alberto Escalante, Irving García
doaj   +1 more source

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