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Noether's Theorems

Applications in Mechanics and Field Theory

Gennadi Sardanashvily (Autor)

Buch | Hardcover

297 Seiten

2016 | 2016 ed.
Atlantis Press (Zeger Karssen) (Verlag)
978-94-6239-170-3 (ISBN)

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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.

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.

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.

Erscheinungsdatum	08.10.2016
Reihe/Serie	Atlantis Studies in Variational Geometry ; 3
Zusatzinfo	XVII, 297 p.
Verlagsort	Paris
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
Schlagworte	Calculus of Variations • Gauge Symmetry • Graded Manifolds • Noether Identity • Noether's Theorems
ISBN-10	94-6239-170-X / 946239170X
ISBN-13	978-94-6239-170-3 / 9789462391703
Zustand	Neuware