New Lagrangian And Hamiltonian Methods In Field Theory
eBook - PDF

New Lagrangian And Hamiltonian Methods In Field Theory

Giovanni Giachetta, Luigi Mangiarotti, Gennadi A Sardanashvily

  1. 464 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

New Lagrangian And Hamiltonian Methods In Field Theory

Giovanni Giachetta, Luigi Mangiarotti, Gennadi A Sardanashvily

Book details
Table of contents
Citations

About This Book

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.

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Information

Table of contents

  1. Contents
  2. Preface
  3. Introduction
  4. Chapter 1 Fibred Manifolds
  5. Chapter 2 Jet Manifolds and Connections
  6. Chapter 3 Lagrangian formalism
  7. Chapter 4 Hamiltonian Formalism
  8. Chapter 5 Special topics
  9. Bibliography
  10. Glossary of symbols
  11. Index