Results 121 to 130 of about 336,880 (200)

Emmy Noether and Linear Evolution Equations

Acta Polytechnica, 2013
Noether’s Theorem relates the Action Integral of a Lagrangian with symmetries which leave it invariant and the first integrals consequent upon the variational principle and the existence of the symmetries. These each have an equivalent in the Schrödinger
P. G. L. Leach
doaj  

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

Categories 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  

Towards a generalisation of Noether's theorem to nonclassical Hopf-Galois structures [PDF]

, 2011
We study the nonclassical Hopf-Galois module structure of rings of algebraic integers in some extensions of p-adic fields and number fields which are at most tamely ramified.
Truman
core   +2 more sources

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

Advances 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

Noether’s theorem and Ward-Takahashi identities from homotopy algebras

Journal of High Energy Physics
We derive the new identity in homotopy algebras which directly corresponds to the Schwinger-Dyson equations in quantum field theory. As an application, we derive the Ward-Takahashi identities.
Keisuke Konosu, Jojiro Totsuka-Yoshinaka
doaj   +1 more source

Fractional Time-Scales Noether’s Theorem for Non-Standard Birkhoffian System

Fractal and Fractional
In this work, Noether symmetries and conserved quantities of a non-standard Birkhoffian system based on the Caputo Δ Pfaff–Birkhoff principle on time scales are studied.
Zhenyu Wu, Chuanjing Song
doaj   +1 more source

Noether’s theorem for the conditional principle of least action

European Physical Journal C: Particles and Fields
We consider the problem of a conditional extremum of an action in a class of fields constrained by differential equations. For this setup, we propose an extension of Noether’s first theorem to connect the symmetries of the action and the imposed ...
S. L. Lyakhovich, S. B. Sayapin, I. A. Zubareva   +2 more
doaj   +1 more source

On the role of continuous symmetries in the solution of the three-dimensional Euler fluid equations and related models. [PDF]

Philos Trans A Math Phys Eng Sci, 2022
Bustamante MD.
europepmc   +1 more source

ABJ anomaly as a U(1) symmetry and Noether’s theorem

SciPost Physics
The Adler-Bell-Jackiw anomaly determines the violation of chiral symmetry when massless fermions are coupled to an abelian gauge field. In its seminal paper, Adler noticed that a modified chiral $U(1)$ symmetry could still be defined, at the expense of ...
Valentin Benedetti, Horacio Casini, Javier M. Magan
doaj   +1 more source

Noether's theorem and first integrals of ordinary differential equations. [PDF]

, 1997
Thesis (M.Sc.)-University of Natal, Durban, 1997.The Lie theory of extended groups is a practical tool in the analysis of differential equations, particularly in the construction of solutions.
Moyo, Sibusiso.
core