Results 31 to 40 of about 1,719 (178)

Noether theorem for μ-symmetries [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2007
We give a version of Noether theorem adapted to the framework of mu-symmetries; this extends to such case recent work by Muriel, Romero and Olver in the framework of lambda-symmetries, and connects mu-symmetries of a Lagrangian to a suitably modified conservation law. In some cases this "mu-conservation law'' actually reduces to a standard one; we also
G. Cicogna, G. Gaeta
openaire   +3 more sources

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

Calculation of the angular momentum of an electromagnetic field inside a waveguide with absolutely conducting walls: ab initio [PDF]

open access: yesКомпьютерная оптика, 2018
In this paper, explicit expressions for the momentum and angular momentum from the Noether's theorem (ab initio) are obtained. These expressions contain squared modules of the coefficients of a guided mode expansion, weighted by the phase singularity ...
Sergey Kharitonov   +2 more
doaj   +1 more source

Linear Time-Dependent Invariants for Scalar Fields and Noether's Theorem [PDF]

open access: yes, 1994
The infinite number of time-dependent linear in field and conjugated momenta invariants is derived for the scalar field using the Noether's theorem procedure.Comment: LaTeX, 6 pages, preprint of Instituto de Ciencias Nucleares, UNAM, Departamento de F ...
Castaños, O.   +2 more
core   +2 more sources

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

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

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