Variational Problems with Partial Fractional Derivative: Optimal Conditions and Noether’s Theorem
Journal of Function Spaces, 2018 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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Analogues to Lie Method and Noether’s Theorem in Fractal Calculus
Fractal and Fractional, 2019 In this manuscript, we study symmetries of fractal differential equations. We show that using symmetry properties, one of the solutions can map to another solution.
Alireza Khalili Golmankhaneh +1 more
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Gauge invariant Noether’s theorem and the proton spin crisis
Journal of High Energy Physics, 2018 Due to proton spin crisis it is necessary to understand the gauge invariant definition of the spin and orbital angular momentum of the quark and gluon from first principle.
Gouranga C. Nayak
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The equivalence principle is NOT a Noether symmetry
European Physical Journal C: Particles and FieldsThe connection between the equivalence principle and Noether’s theorem was discussed in Capozziello and Ferrara (Int J Geom Methods Mod Phys 21:2440014, 2024).
Andronikos Paliathanasis
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Moving energies hide within Noether’s first theorem [PDF]
, 2023 We show that the moving energies of some well-known nonholonomic systems are hidden among the first integrals that can be obtained by applying Noether’s first Theorem to a suitable ...
Sansonetto N. +3 more
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Lectures on polynomial equations: Max Noether’s Fundamental Theorem, The Jacobi Formula and Bézout’s Theorem [PDF]
, 2022 Using some commutative algebra we prove Max Noether’s Theorem, the Jacobi Formula and B´ezout’s Theorem for systems of polynomial equations defining transversal hypersurfaces without common points at ...
Płoski, Arkadiusz, Arkadiusz Płoski
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Comment on “Noether’s-type theorems on time scales” [J. Math. Phys. 61, 113502 (2020)] [PDF]
, 2023 We comment on the validity of Noether’s theorem and on the conclusions of Anerot et al. [J. Math. Phys. 61(11), 113502 (2020)].The author was supported by FCT under Project No.
Delfim F. M. Torres +1 more
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The Unitary Master Ward Identity: Time Slice Axiom, Noether’s Theorem and Anomalies [PDF]
, 2022 The C*-algebraic formulation of generic interacting quantum field theories, recently presented by Detlev Buchholz and one of the authors (KF), is enriched by a unitary version of the Master Ward Identity, which was postulated some time ago by Franz Marc ...
Dütsch, Michael +8 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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Euler-Lagrange equations and Noether’s theorem of multi-scale mechano-electrophysiological coupling model of neuron membrane dynamics [PDF]
, 2023 Noether’s theorem is applied into a multi-scale mechno-electrophysiological coupling model of neuron membrane dynamics. The Euler-Lagrange equations in generalized coordinates of this model are deduced by the nonconservative Hamilton principle.
Wang, Peng
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