Noether's Theorems
Applications in Mechanics and Field Theory
(Sprache: Englisch)
The book provides a detailed exposition of the calculus of variations on fibre bundles and graded manifolds. It presents applications in such area's as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with...
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Klappentext zu „Noether's Theorems “
The book provides a detailed exposition of the calculus of variations on fibre bundles and graded manifolds. It presents applications in such area's as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with emphasis on energy and energy-momentum conservation laws. Within this general context the first and second Noether theorems are treated in the very general setting of reducible degenerate graded Lagrangian theory.
Inhaltsverzeichnis zu „Noether's Theorems “
Calculus of variations on fibre bundles.- Noether's first theorem.- Lagrangian and Hamiltonian field theories.- Lagrangian and Hamiltonian nonrelativistic mechanics.- Global Kepler problem.- Calculus of variations on graded bundles.- Noether's second theorems.- Yang-Mills gauge theory on principal bundles.- SUSY gauge theory on principal graded bundles.- Gauge gravitation theory on natural bundles.- Chern-Simons topological field theory.- Topological BF theory.
Bibliographische Angaben
- Autor: Gennadi Sardanashvily
- 2016, 1st ed. 2016, XVII, 297 Seiten, Masse: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 946239170X
- ISBN-13: 9789462391703
- Erscheinungsdatum: 16.03.2016
Sprache:
Englisch
Pressezitat
"This book contains a systematic and detailed approach to Lagrangian systems through the variational bicomplex providing a very general geometric and algebraic view of the variational calculus. ... The book is very well written in a clear and direct style containing very helpful cross references. In addition the book under review includes 4 appendices which make the presentation self contained." (Miguel Paternain, zbMATH 1357.58002, 2017)Kommentar zu "Noether's Theorems"
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