Results 31 to 40 of about 1,695 (179)
Variational Problems with Partial Fractional Derivative: Optimal Conditions and Noether’s Theorem
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
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Anomalies in quantum field theories
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
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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
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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
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Teaching "Symmetry" in the Introductory Physics Curriculum [PDF]
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.
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A contribution to the theory of the extended Lagrangian formalism for rheonomic systems [PDF]
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
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Reduction theorems for Noether’s problem [PDF]
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.
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Comparison of Different Approaches to Construct First Integrals for Ordinary Differential Equations
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
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Noether's second theorem for BRST symmetries
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
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Max noether theorem for singular curves
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
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