Extended Lagrange And Hamilton Formalism For Point Mechanics And Covariant Hamilton Field Theory PDF Download
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| Author | : Jurgen Struckmeier |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 300 |
| Release | : 2017-05-31 |
| Genre | : Science |
| ISBN | : 9789814578417 |
Download Extended Lagrange and Hamilton Formalism for Point Mechanics and Covariant Hamilton Field Theory Book in PDF, ePub and Kindle
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.
| Author | : G. Sardanashvily |
| Publisher | : World Scientific |
| Total Pages | : 168 |
| Release | : 1995 |
| Genre | : Science |
| ISBN | : 9789810220457 |
Download Generalized Hamiltonian Formalism for Field Theory Book in PDF, ePub and Kindle
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.
| Author | : Giovanni Giachetta |
| Publisher | : World Scientific |
| Total Pages | : 464 |
| Release | : 1997-12-18 |
| Genre | : Science |
| ISBN | : 9814518085 |
Download New Lagrangian And Hamiltonian Methods In Field Theory Book in PDF, ePub and Kindle
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.
| Author | : Melvin G. Calkin |
| Publisher | : World Scientific |
| Total Pages | : 244 |
| Release | : 1999 |
| Genre | : Science |
| ISBN | : 9789810237820 |
Download Lagrangian and Hamiltonian Mechanics Book in PDF, ePub and Kindle
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.
| Author | : Gaetano Vilasi |
| Publisher | : World Scientific |
| Total Pages | : 457 |
| Release | : 2001 |
| Genre | : Science |
| ISBN | : 9810233086 |
Download Hamiltonian Dynamics Book in PDF, ePub and Kindle
This is both a textbook and a monograph. It is partially based on a two-semester course, held by the author for third-year students in physics and mathematics at the University of Salerno, on analytical mechanics, differential geometry, symplectic manifolds and integrable systems.As a textbook, it provides a systematic and self-consistent formulation of Hamiltonian dynamics both in a rigorous coordinate language and in the modern language of differential geometry. It also presents powerful mathematical methods of theoretical physics, especially in gauge theories and general relativity.As a monograph, the book deals with the advanced research topic of completely integrable dynamics, with both finitely and infinitely many degrees of freedom, including geometrical structures of solitonic wave equations.
| Author | : Michael E. Peskin |
| Publisher | : CRC Press |
| Total Pages | : 866 |
| Release | : 2018-05-04 |
| Genre | : Science |
| ISBN | : 0429983182 |
Download An Introduction To Quantum Field Theory Book in PDF, ePub and Kindle
An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.
| Author | : Andreas Kriegl |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 631 |
| Release | : 1997 |
| Genre | : Mathematics |
| ISBN | : 0821807803 |
Download The Convenient Setting of Global Analysis Book in PDF, ePub and Kindle
For graduate students and research mathematicians interested in global analysis and the analysis of manifolds, lays the foundations for a differential calculus in infinite dimensions and discusses applications in infinite-dimension differential geometry and global analysis not involving Sobolev completions and fixed-point theory. Shows how the notion of smoothness as mapping smooth curves to smooth curves coincides with all known reasonable concepts up to Frechet spaces. Then develops a calculus of holomorphic mappings, and another of real analytical mapping. Emphasizes regular infinite dimensional Lie groups. Annotation copyrighted by Book News, Inc., Portland, OR
| Author | : Patrick Hamill |
| Publisher | : Cambridge University Press |
| Total Pages | : 185 |
| Release | : 2014 |
| Genre | : Mathematics |
| ISBN | : 1107042887 |
Download A Student's Guide to Lagrangians and Hamiltonians Book in PDF, ePub and Kindle
A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.
| Author | : Claude Gignoux |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 464 |
| Release | : 2009-07-14 |
| Genre | : Science |
| ISBN | : 9048123933 |
Download Solved Problems in Lagrangian and Hamiltonian Mechanics Book in PDF, ePub and Kindle
The aim of this work is to bridge the gap between the well-known Newtonian mechanics and the studies on chaos, ordinarily reserved to experts. Several topics are treated: Lagrangian, Hamiltonian and Jacobi formalisms, studies of integrable and quasi-integrable systems. The chapter devoted to chaos also enables a simple presentation of the KAM theorem. All the important notions are recalled in summaries of the lectures. They are illustrated by many original problems, stemming from real-life situations, the solutions of which are worked out in great detail for the benefit of the reader. This book will be of interest to undergraduate students as well as others whose work involves mechanics, physics and engineering in general.
| Author | : Augustin Banyaga |
| Publisher | : World Scientific |
| Total Pages | : 180 |
| Release | : 2016-08-08 |
| Genre | : |
| ISBN | : 9814696722 |
Download A Brief Introduction to Symplectic and Contact Manifolds Book in PDF, ePub and Kindle
The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student. It also contains many exercises, some of which are solved only in the last chapter. We begin with the linear theory, then give the definition of symplectic manifolds and some basic examples, review advanced calculus, discuss Hamiltonian systems, tour rapidly group and the basics of contact geometry, and solve problems in chapter 8. The material just described can be used as a one semester course on Symplectic and Contact Geometry. The book contains also more advanced material, suitable to advanced graduate students and researchers. Contents: Symplectic Vector SpacesSymplectic ManifoldsHamiltonian Systems and Poisson AlgebraGroup ActionsContact ManifoldsSolutions of Selected ExercisesEpilogue: The C0-Symplectic and Contact Topology Readership: Graduate students, researchers and more advanced mathematicians. Symplectic;Contact GeometryKey Features: It is briefThe easy part has been tested and been used for a short courseThe advanced material develops things related to one of the author's research furtherThere is no book, going from the very elementary part to the very advanced level, like this one
