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Noether's Theorems: Applications in Mechanics and Field Theory de Gennadi Sardanashvily

Noether's Theorems: Applications in Mechanics and Field Theory: Atlantis Studies in Variational Geometry, cartea 3

Autor Gennadi Sardanashvily
en Limba Engleză Hardback – 16 mar 2016
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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Specificații

ISBN-13: 9789462391703
ISBN-10: 946239170X
Pagini: 297
Ilustrații: XVII, 297 p.
Dimensiuni: 155 x 235 x 23 mm
Greutate: 0.62 kg
Ediția:1st ed. 2016
Editura: ATLANTIS PRESS
Colecția Atlantis Press
Seria Atlantis Studies in Variational Geometry

Locul publicării:Paris, Netherlands

Public țintă

Research

Cuprins

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.

Recenzii

“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)

Textul de pe ultima copertă

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.

Caracteristici

Noether's theorems are presented in the most general and universal form The calculus of variations and Lagrangian theory are formulated in a very general setting Relevant examples from mechanics and field theory help the reader to understand the general theory of Noether's theorems and their applications in physics Includes supplementary material: sn.pub/extras