Generalization of the Noether Theorem: Global and Local Symmetries, Dynamical Functionals and Boundary Conditions †
1
Joint Institute for Nuclear Research (JINR), 141980 Dubna, Russia
2
Foundation of Theoretical and Computational Physics and Astrophysics, Sofia 1164, Bulgaria
†
Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017.
Proceedings 2018, 2(1), 43; https://doi.org/10.3390/proceedings2010043
Published: 4 January 2018
(This article belongs to the Proceedings of The First International Conference on Symmetry)
Abstract
:We consider the most general form of the Noether theorem which is suitable for the treatment of global symmetries, described by symmetry-groups, and local symmetries, described by symmetry-algebras, which may not be integrable to symmetry groups. The principle new notion is specific dynamical functionals which solve the problem by replacing the standard action functionals. We also discuss the compatibility of the boundary conditions and the corresponding variational principles. Many illustrative examples are shown.
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MDPI and ACS Style
Fiziev, P. Generalization of the Noether Theorem: Global and Local Symmetries, Dynamical Functionals and Boundary Conditions. Proceedings 2018, 2, 43. https://doi.org/10.3390/proceedings2010043
AMA Style
Fiziev P. Generalization of the Noether Theorem: Global and Local Symmetries, Dynamical Functionals and Boundary Conditions. Proceedings. 2018; 2(1):43. https://doi.org/10.3390/proceedings2010043
Chicago/Turabian StyleFiziev, Plamen. 2018. "Generalization of the Noether Theorem: Global and Local Symmetries, Dynamical Functionals and Boundary Conditions" Proceedings 2, no. 1: 43. https://doi.org/10.3390/proceedings2010043
