Results 31 to 40 of about 1,695 (179)

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

open access: yesJournal of Function Spaces, 2018
In this paper, the necessary and sufficient conditions of optimality for variational problems with Caputo partial fractional derivative are established. Fractional Euler-Lagrange equations are obtained.
Jun Jiang, Yuqiang Feng, Shougui Li
doaj   +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

A simplicial gauge theory

open access: yes, 2011
We provide an action for gauge theories discretized on simplicial meshes, inspired by finite element methods. The action is discretely gauge invariant and we give a proof of consistency. A discrete Noether's theorem that can be applied to our setting, is
Bossavit A.   +15 more
core   +1 more source

Symmetries, Newtonoids vector fields and conservation laws in the Lagrangian $k$-symplectic formalism

open access: yes, 2012
In this paper we study symmetries, Newtonoid vector fields, conservation laws, Noether's Theorem and its converse, in the framework of the $k$-symplectic formalism, using the Fr\"olicher-Nijenhuis formalism on the space of $k^1$-velocities of the ...
Bua, Lucía   +2 more
core   +1 more source

Teaching "Symmetry" in the Introductory Physics Curriculum [PDF]

open access: yes, 2000
Modern physics is largely defined by fundamental symmetry principles and Noether's Theorem. Yet these are not taught, or rarely mentioned, to beginning students, thus missing an opportunity to reveal that the subject of physics is as lively and ...
Hill, Christopher T., Lederman, Leon M.
core   +2 more sources

A contribution to the theory of the extended Lagrangian formalism for rheonomic systems [PDF]

open access: yes, 2009
In this paper the generalization of the notion of variation in the extended Lagrangian formalism for the rheonomic mechanical systems (Đ. Mušicki, 2004) is formulated and analyzed in details.
Mušicki Đorđe
core   +1 more source

Reduction theorems for Noether’s problem [PDF]

open access: yesProceedings of the American Mathematical Society, 2009
Let K K be any field, and G G be a finite group. Let G G act on the rational function field K ( x ( g ) : g ∈ G ) K(x(g):g\in G) by K K -automorphisms and h ⋅ x
Kang, M.C., Plans, B.
openaire   +4 more sources

Comparison of Different Approaches to Construct First Integrals for Ordinary Differential Equations

open access: yesAbstract and Applied Analysis, 2014
Different approaches to construct first integrals for ordinary differential equations and systems of ordinary differential equations are studied here. These approaches can be grouped into three categories: direct methods, Lagrangian or partial Lagrangian
Rehana Naz   +2 more
doaj   +1 more source

Noether's second theorem for BRST symmetries

open access: yes, 2005
We present Noether's second theorem for graded Lagrangian systems of even and odd variables on an arbitrary body manifold X in a general case of BRST symmetries depending on derivatives of dynamic variables and ghosts of any finite order.
D. Bashkirov   +7 more
core   +1 more source

Max noether theorem for singular curves

open access: yesmanuscripta mathematica, 2023
Max Noether's Theorem asserts that if $ $ is the dualizing sheaf of a nonsingular nonhyperelliptic projective curve, then the natural morphisms $\text{Sym}^nH^0( )\to H^0( ^n)$ are surjective for all $n\geq 1$. The result was extended for Gorenstein curves by many different authors in distinct ways.
Martins, Renato Vidal   +1 more
openaire   +3 more sources

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