Results 21 to 30 of about 9,958 (153)
Fractional derivative generalization of Noether’s theorem
Open Mathematics, 2015 The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered.
Khorshidi Maryam +2 more
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Gauge transformations for higher-order lagrangians [PDF]
, 1995 Noether's symmetry transformations for higher-order lagrangians are studied. A characterization of these transformations is presented, which is useful to find gauge transformations for higher-order singular lagrangians.
Batlle C +25 more
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Connections Between Symmetries and Conservation Laws [PDF]
, 2005 This paper presents recent work on connections between symmetries and conservation laws. After reviewing Noether's theorem and its limitations, we present the Direct Construction Method to show how to find directly the conservation laws for any given ...
Bluman, George
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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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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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Dym equation: group analysis and conservation laws [PDF]
AUT Journal of Mathematics and Computing, 2022 In this paper group-invariant properties of the Dym equation are studied. Lie symmetries are given and some group-invariant solutions are found with the use of similarity variables obtained from these operators.
S. Reza Hejazi, Azadeh Naderifard
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A Formulation of Noether's Theorem for Fractional Problems of the Calculus of Variations
, 2007 Fractional (or non-integer) differentiation is an important concept both from theoretical and applicational points of view. The study of problems of the calculus of variations with fractional derivatives is a rather recent subject, the main result being ...
Agrawal +18 more
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Linear Time-Dependent Invariants for Scalar Fields and Noether's Theorem [PDF]
, 1994 The infinite number of time-dependent linear in field and conjugated momenta invariants is derived for the scalar field using the Noether's theorem procedure.Comment: LaTeX, 6 pages, preprint of Instituto de Ciencias Nucleares, UNAM, Departamento de F ...
Castaños, O. +2 more
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Conservation laws for invariant functionals containing compositions
, 2007 The study of problems of the calculus of variations with compositions is a quite recent subject with origin in dynamical systems governed by chaotic maps.
Askenazy P +22 more
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