Results 31 to 40 of about 336,880 (200)
From parametricity to conservation laws, via Noether's Theorem [PDF]
, 2014 Invariance is of paramount importance in programming languages and in physics. In programming languages, John Reynolds' theory of relational parametricity demonstrates that parametric polymorphic programs are invariant under change of data representation,
Atkey, Robert
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Anomalies in quantum field theories
Vojnotehnički Glasnik, 2023 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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Noether theorem for μ-symmetries [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 We give a version of Noether theorem adapted to the framework of mu-symmetries; this extends to such case recent work by Muriel, Romero and Olver in the framework of lambda-symmetries, and connects mu-symmetries of a Lagrangian to a suitably modified conservation law. In some cases this "mu-conservation law'' actually reduces to a standard one; we also
G. Cicogna, G. Gaeta
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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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Calculation of the angular momentum of an electromagnetic field inside a waveguide with absolutely conducting walls: ab initio [PDF]
Компьютерная оптика, 2018 In this paper, explicit expressions for the momentum and angular momentum from the Noether's theorem (ab initio) are obtained. These expressions contain squared modules of the coefficients of a guided mode expansion, weighted by the phase singularity ...
Sergey Kharitonov +2 more
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Energy in gravitation and Noether’s theorems* [PDF]
Journal of Physics A: Mathematical and Theoretical, 2019 I exhibit the conflicting roles of Noether’s two great theorems in defining conserved quantities, especially energy in general relativity and its extensions: it is the breaking of coordinate invariance through boundary conditions that removes the barrier her second theorem otherwise poses to the applicability of her first.
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Noether theorems and quantum anomalies [PDF]
Doklady Mathematics, 2017 In this communication, we show that both infinite-dimensional versions of Noether's theorems, and the explanation of quantum anomalies can be obtained using similar formulas for the derivatives of functions whose values are measures (Smolyanov and von Weizsaecker, 1995) or pseudomeasures (Gough, Ratiu and Smolyanov, 2015). In particular, we improve son
Gough, J. +2 more
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A Time scales Noether's theorem
, 2016 ArXiv e-prints. september 1 2016. 2016. vol. 1609.We prove a time scales version of the Noether's theorem relating group of symmetries and conservation laws.
Cresson, Jacky +2 more
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The classical theory of calculus of variations for generalized functions
Advances in Nonlinear Analysis, 2017 We present an extension of the classical theory of calculus of variations to generalized functions. The framework is the category of generalized smooth functions, which includes Schwartz distributions, while sharing many nonlinear properties with ...
Lecke Alexander +2 more
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Extensions of Noether's Second Theorem: from continuous to discrete systems [PDF]
, 2011 A simple local proof of Noether's Second Theorem is given. This proof immediately leads to a generalization of the theorem, yielding conservation laws and/or explicit relationships between the Euler–Lagrange equations of any variational problem whose ...
Hydon, PE +5 more
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