Noether's Theorems Applications in Mechanics and Field Theory
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 conservat...
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| Format: | eBook |
| Language: | English |
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Paris
Atlantis Press
2016, 2016
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| Edition: | 1st ed. 2016 |
| Series: | Atlantis Studies in Variational Geometry
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| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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