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New Lagrangian and Hamiltonian Methods in Field Theory

1997 Science
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Release : 1997
Genre : Science
Kind : eBook
Book Rating : 873/5 ( reviews)

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Book Synopsis New Lagrangian and Hamiltonian Methods in Field Theory by : G. Giachetta

Download or read book New Lagrangian and Hamiltonian Methods in Field Theory written by G. Giachetta. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Student's Guide to Lagrangians and Hamiltonians

2014 Mathematics
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Release : 2014
Genre : Mathematics
Kind : eBook
Book Rating : 887/5 ( reviews)

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Book Synopsis A Student's Guide to Lagrangians and Hamiltonians by : Patrick Hamill

Download or read book A Student's Guide to Lagrangians and Hamiltonians written by Patrick Hamill. This book was released on 2014. Available in PDF, EPUB and Kindle. Book excerpt: A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.

Generalized Hamiltonian Formalism for Field Theory

1995 Science
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Release : 1995
Genre : Science
Kind : eBook
Book Rating : 457/5 ( reviews)

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Book Synopsis Generalized Hamiltonian Formalism for Field Theory by : G. Sardanashvily

Download or read book Generalized Hamiltonian Formalism for Field Theory written by G. Sardanashvily. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt: In the framework of the geometric formulation of field theory, classical fields are represented by sections of fibred manifolds, and their dynamics is phrased in jet manifold terms. The Hamiltonian formalism in fibred manifolds is the multisymplectic generalization of the Hamiltonian formalism in mechanics when canonical momenta correspond to derivatives of fields with respect to all world coordinates, not only to time. This book is devoted to the application of this formalism to fundamental field models including gauge theory, gravitation theory, and spontaneous symmetry breaking. All these models are constraint ones. Their Euler-Lagrange equations are underdetermined and need additional conditions. In the Hamiltonian formalism, these conditions appear automatically as a part of the Hamilton equations, corresponding to different Hamiltonian forms associated with a degenerate Lagrangian density. The general procedure for describing constraint systems with quadratic and affine Lagrangian densities is presented.

Connections In Classical And Quantum Field Theory

2000-04-28 Science
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Release : 2000-04-28
Genre : Science
Kind : eBook
Book Rating : 409/5 ( reviews)

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Book Synopsis Connections In Classical And Quantum Field Theory by : Luigi Mangiarotti

Download or read book Connections In Classical And Quantum Field Theory written by Luigi Mangiarotti. This book was released on 2000-04-28. Available in PDF, EPUB and Kindle. Book excerpt: Geometrical notions and methods play an important role in both classical and quantum field theory, and a connection is a deep structure which apparently underlies the gauge-theoretical models in field theory and mechanics. This book is an encyclopaedia of modern geometric methods in theoretical physics. It collects together the basic mathematical facts about various types of connections, and provides a detailed exposition of relevant physical applications. It discusses the modern issues concerning the gauge theories of fundamental fields. The authors have tried to give all the necessary mathematical background, thus making the book self-contained.This book should be useful to graduate students, physicists and mathematicians who are interested in the issue of deep interrelations between theoretical physics and geometry.

Lagrangian And Hamiltonian Mechanics: Solutions To The Exercises

1999-03-12 Science
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Release : 1999-03-12
Genre : Science
Kind : eBook
Book Rating : 410/5 ( reviews)

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Book Synopsis Lagrangian And Hamiltonian Mechanics: Solutions To The Exercises by : Melvin G Calkin

Download or read book Lagrangian And Hamiltonian Mechanics: Solutions To The Exercises written by Melvin G Calkin. This book was released on 1999-03-12. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the exercises from the classical mechanics text Lagrangian and Hamiltonian Mechanics, together with their complete solutions. It is intended primarily for instructors who are using Lagrangian and Hamiltonian Mechanics in their course, but it may also be used, together with that text, by those who are studying mechanics on their own.

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