New Lagrangian and Hamiltonian Methods in Field Theory

New Lagrangian and Hamiltonian Methods in Field Theory

by L. Mangiarotti, Gennadi A. Sardanashvily
     
 

ISBN-10: 9810215878

ISBN-13: 9789810215873

Pub. Date: 03/28/1997

Publisher: World Scientific Publishing Company, Incorporated

This book incorporates 3 modern aspects of mathematical physics: the jet methods in differential geometry, Lagrangian formalism on jet manifolds and the multimomentum approach to Hamiltonian formalism. Several contemporary field models are investigated in detail.This is not a book on differential geometry. However, modern concepts of differential geometry such as…  See more details below

Overview

This book incorporates 3 modern aspects of mathematical physics: the jet methods in differential geometry, Lagrangian formalism on jet manifolds and the multimomentum approach to Hamiltonian formalism. Several contemporary field models are investigated in detail.This is not a book on differential geometry. However, modern concepts of differential geometry such as jet manifolds and connections are used throughout the book. Quadratic Lagrangians and Hamiltonians are studied at the general level including a treatment of Hamiltonian formalism on composite fiber manifolds. The book presents new geometric methods and results in field theory.

Product Details

ISBN-13:
9789810215873
Publisher:
World Scientific Publishing Company, Incorporated
Publication date:
03/28/1997
Pages:
464
Product dimensions:
6.10(w) x 8.60(h) x 1.40(d)

Table of Contents

Preface
Introduction1
1Fibred Manifolds7
2Jet Manifolds and Connections43
3Lagrangian Formalism97
4Hamiltonian Formalism231
5Special Topics333
Bibliography427
Glossary of Symbols443
Index449

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