Buch, Englisch, Band 3, 297 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 5974 g
Applications in Mechanics and Field Theory
Buch, Englisch, Band 3, 297 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 5974 g
Reihe: Atlantis Studies in Variational Geometry
ISBN: 978-94-6239-170-3
Verlag: Atlantis Press
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.
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Weitere Infos & Material
Calculus of variations on ?bre bundles.- Noether’s ?rst theorem.- Lagrangian and Hamiltonian ?eld 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 ?eld theory.- Topological BF theory.