Gennadi Sardanashvily
Atlantis Press
e druk, 2016
9789462391703
Noether's Theorems
Applications in Mechanics and Field Theory
Specificaties
Gebonden, blz.
|
Engels
Atlantis Press |
e druk, 2016
ISBN13: 9789462391703
Rubricering
Onderdeel van serie
Atlantis Studies in Variational Geometry
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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.
Specificaties
Inhoudsopgave
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.