Extended Lagrange and Hamilton Formalism for Point Mechanics and Covariant Hamilton Field Theory

Extended Lagrange and Hamilton Formalism for Point Mechanics and Covariant Hamilton Field Theory
Author :
Publisher : World Scientific Publishing Company
Total Pages : 300
Release :
ISBN-10 : 981457841X
ISBN-13 : 9789814578417
Rating : 4/5 (417 Downloads)

Book Synopsis Extended Lagrange and Hamilton Formalism for Point Mechanics and Covariant Hamilton Field Theory by : Jurgen Struckmeier

Download or read book Extended Lagrange and Hamilton Formalism for Point Mechanics and Covariant Hamilton Field Theory written by Jurgen Struckmeier and published by World Scientific Publishing Company. This book was released on 2017-05-31 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an explicitly covariant canonical formalism that is devised in the usual mathematical language of standard textbooks on classical dynamics. It elaborates on important questions: How do we convert the entire canonical formalism of Lagrange and Hamilton that are built upon Newton's concept of an absolute time into a relativistically correct form that is appropriate to our present knowledge? How do we treat the space-time variables in a Hamiltonian Field Theory on equal footing as in the Lagrangian description of field theory without introducing a new mathematical language? How can a closed covariant canonical gauge theory be obtained from it? To answer the last question, the theory of homogenous and inhomogeneous gauge transformations is worked out in this book on the basis of the canonical transformation theory for fields elaborated before. In analogy to the treatment of time in relativistic point mechanics, the canonical formalism in field theory is further extended to a space-time that is no longer fixed but is also treated as a canonical variable. Applied to a generalized theory of gauge transformations, this opens the door to a new approach to general relativity.


Extended Lagrange and Hamilton Formalism for Point Mechanics and Covariant Hamilton Field Theory Related Books

Extended Lagrange and Hamilton Formalism for Point Mechanics and Covariant Hamilton Field Theory
Language: en
Pages: 300
Authors: Jurgen Struckmeier
Categories: Science
Type: BOOK - Published: 2017-05-31 - Publisher: World Scientific Publishing Company

GET EBOOK

This book offers an explicitly covariant canonical formalism that is devised in the usual mathematical language of standard textbooks on classical dynamics. It
Extended Lagrange And Hamilton Formalism For Point Mechanics And Covariant Hamilton Field Theory
Language: en
Pages: 383
Authors: Jurgen Struckmeier
Categories: Science
Type: BOOK - Published: 2024-08-27 - Publisher: World Scientific

GET EBOOK

This book presents the extended Lagrange and Hamilton formalisms of point mechanics and field theory in the usual tensor language of standard textbooks on class
Generalized Hamiltonian Formalism for Field Theory
Language: en
Pages: 168
Authors: G. Sardanashvily
Categories: Science
Type: BOOK - Published: 1995 - Publisher: World Scientific

GET EBOOK

In the framework of the geometric formulation of field theory, classical fields are represented by sections of fibred manifolds, and their dynamics is phrased i
Introduction To Lagrangian Mechanics, An (2nd Edition)
Language: en
Pages: 324
Authors: Alain J Brizard
Categories: Science
Type: BOOK - Published: 2014-11-28 - Publisher: World Scientific Publishing Company

GET EBOOK

An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat's Principle of Least Time (as
An Introduction To Quantum Field Theory
Language: en
Pages: 865
Authors: Michael E. Peskin
Categories: Science
Type: BOOK - Published: 2018-05-04 - Publisher: CRC Press

GET EBOOK

An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics,