Noether's Theorem in Multisymplectic Geometry
Differential Geometry and its Applications, 2017 We extend Noether's theorem to the setting of multisymplectic geometry by exhibiting a correspondence between conserved quantities and continuous symmetries on a multi-Hamiltonian system.
Herman, Jonathan
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Stochastic fractal and Noether's theorem [PDF]
Physical Review E, 2021 11 pages, 6 captioned figures each containing 2 ...
Rakibur Rahman +4 more
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Noether’s Theorem and Symmetry [PDF]
Symmetry, 2018 In Noether’s original presentation of her celebrated theorem of 1918, allowance was made for the dependence of the coefficient functions of the differential operator, which generated the infinitesimal transformation of the action integral upon the derivatives of the dependent variable(s), the so-called generalized, or dynamical, symmetries.
Amlan K. Halder +2 more
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Generalized symmetries and Noether’s theorem in QFT
Journal of High Energy Physics, 2022 We show that generalized symmetries cannot be charged under a continuous global symmetry having a Noether current. Further, only non-compact generalized symmetries can be charged under a continuous global symmetry.
Valentin Benedetti +2 more
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Noether’s theorem for Herglotz type variational problems utilizing complex fractional derivatives [PDF]
Theoretical and Applied Mechanics, 2021 This is a review article which elaborates the results presented in [1], where the variational principle of Herglotz type with a Lagrangian that depends on fractional derivatives of both real and complex orders is formulated and the invariance of this ...
Janev Marko +2 more
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Noether's Symmetry Theorem for Variational and Optimal Control Problems with Time Delay [PDF]
, 2012 We extend the DuBois-Reymond necessary optimality condition and Noether's symmetry theorem to the time delay variational setting. Both Lagrangian and Hamiltonian versions of Noether's theorem are proved, covering problems of the calculus of variations ...
D. F. M. Torres +23 more
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Variance of fluctuations from Noether invariance
Communications Physics, 2022 Noether’s theorem allows to find conservation laws corresponding to the symmetries of the system. The authors theoretically derive an exact relation of the variance of external force in statistical mechanics, using Noether invariance, providing a ...
Sophie Hermann, Matthias Schmidt
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A new perspective on spacetime 4D rotations and the SO(4) transformation group
Results in Physics, 2019 In quantum field theory, every conservation law is enforced by adequate symmetries. The Lorentz group, which represents two continuous symmetries: rotations in 3D Euclidean space and Lorentz boosts, generates conservation of the angular momentum tensor ...
Mikołaj Myszkowski
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Comment on 'Conservation laws of higher order nonlinear PDEs and the variational conservation laws in the class with mixed derivatives' [PDF]
, 2010 In a recent paper (R Narain and A H Kara 2010 J. Phys. A: Math. Theor. 43 085205), the authors claim to be applying Noether's theorem to higher-order partial differential equations and state that in a large class of examples 'the resultant conserved ...
Sarlet, Willy
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The variational symmetries and conservation laws in classical theory of Heisenberg (anti)ferromagnet [PDF]
, 2002 The nonlinear partial differential equations describing the spin dynamics of Heisenberg ferro and antiferromagnet are studied by Lie transformation group method.
A.S. Ovchinnikov +15 more
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