Results 71 to 80 of about 1,695 (179)
Applied Mathematics, 2018 We discuss Noether’s theorem from a new perspective and show that the spatial continuous symmetries of a system are on one hand symmetries of the space and on the other hand are dictated by the system’s potential energy. The Noether’s charges arising from an infinitesimal motion, or a Killing vector field, of the space, are conserved if the Lie ...
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Conserved quantities of Euler-Lagrange system via complex Lagrangian. [PDF]
Heliyon, 2023 Farooq MU, Naseem A, Wafo Soh C.
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Equivariance, Variational Principles, and the Feynman Integral
Symmetry, 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
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Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We construct identities of Pohozhaev type, in the context of elastostatics and elastodynamics, by using the Noetherian approach. As an application, a non-existence result for forced semi-linear isotropic and anisotropic elastic systems is established.
Yuri Bozhkov, Peter J. Olver
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Exact solutions of equal-width equation and its conservation laws
Open 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
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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
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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
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On the concept of (homo)morphism : a key notion in the learning of abstract algebra
, 2013 This article is dedicated to the investigation of difficulties involved in the understanding of the homomorphism concept. It doesn't restrict to group-theory but on the contrary raises the issue of developing teaching strategies aiming at gaining access ...
Hausberger, Thomas
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Fractional Time-Scales Noether’s Theorem for Non-Standard Birkhoffian System
Fractal and FractionalIn 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
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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
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