Results 11 to 20 of about 232 (162)
In this work, we study the generalized 2D equal-width equation which arises in various fields of science. With the aid of numerous methods which includes Lie symmetry analysis, power series expansion and Weierstrass method, we produce closed-form ...
Chaudry Masood Khalique, Karabo Plaatjie
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A Stochastic Version of the Noether Theorem [PDF]
A stochastic version of the Noether Theorem is derived for systems under the action of external random forces. The concept of moment generating functional is employed to describe the symmetry of the stochastic forces. The theorem is applied to two kinds of random covariant forces.
Alfredo González Lezcano +1 more
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Diffeomorphism Covariance of the Canonical Barbero–Immirzi–Holst Triad Theory
The vanishing phase space generator of the full four-dimensional diffeomorphism-related symmetry group in the context of the Barbero–Immirz–Holst Lagrangian is derived directly, for the first time, from Noether’s second theorem.
Donald Salisbury
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Generalized symmetries and Noether’s theorem in QFT
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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Variance of fluctuations from Noether invariance
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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Noether’s theorem for Herglotz type variational problems utilizing complex fractional derivatives [PDF]
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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A new perspective on spacetime 4D rotations and the SO(4) transformation group
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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On the Noether theorem for optimal control [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Noether Theorems in Context
23 pages, to be published in "The Philosophy and Physics of Noether's Theorems", Nicholas Teh, James Read and Bryan Roberts, eds, Cambridge University ...
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Noether’s theorem and the Willmore functional [PDF]
Abstract Noether’s theorem and the invariances of the Willmore functional are used to derive conservation laws that are satisfied by the critical points of the Willmore energy subject to generic constraints. We recover in particular previous results independently obtained by R. Capovilla and J. Guven, and by T. Rivière.
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