New Lagrangian and Hamiltonian Methods in Field Theory

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  • New Lagrangian and Hamiltonian Methods in Field Theory Book Detail

  • Author : G. Giachetta
  • Release Date : 1997
  • Publisher : World Scientific
  • Genre : Science
  • Pages : 472
  • ISBN 13 : 9789810215873
  • File Size : 57,57 MB

New Lagrangian and Hamiltonian Methods in Field Theory by G. Giachetta PDF Summary

Book Description: 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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Classical Mechanics

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Formalism of classical mechanics underlies a number of powerful mathematical methods that are widely used in theoretical and mathematical physics. This book con