The Principle of Least Action

Author: Alberto Rojo
Publisher: Cambridge University Press
ISBN: 9780521869027
Release Date: 2018-03-31
Genre: Mathematics

This text brings history and the key fields of physics together to present a unique technical discussion of the principles of least action.

The Feynman

Author: Richard Phillips Feynman
Publisher: Oldenbourg Verlag
ISBN: 3486584448
Release Date: 2007

The Lazy Universe

Author: Jennifer Coopersmith
Publisher: Oxford University Press
ISBN: 9780198743040
Release Date: 2017-05-11

This book is about 'action' and the Principle of Least Action. These ideas are at the heart of physical science and engineering. Physics is well known as being concerned with grand conservatory principles (e.g. the conservation of energy) but equally important is the optimization principle (such as getting somewhere in the shortest time or with the least resistance). The book explains: why an optimization principle underlies physics, what action is, what 'the Hamiltonian' is, and how new insights into energy, space, and time arise. It assumes some background in the physical sciences, at the level of undergraduate science, but it is not a textbook. The requisite derivations and worked examples are given but may be skim-read if desired. The author draws from Cornelius Lanczos's book 'The Variational Principles of Mechanics' (1949 and 1970). The present book is no mere copy with the difficult bits left out. It aims to explain ideas rather than achieve technical competence, and to show how Least Action leads into the whole of physics.

The Principle of Least Action in Geometry and Dynamics

Author: Karl Friedrich Siburg
Publisher: Springer
ISBN: 9783540409854
Release Date: 2004-04-30
Genre: Mathematics

New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.

The Principle of Least Action Primary Source Edition

Author: Philip Edward Bertrand Jourdain
Publisher: Nabu Press
ISBN: 1294678264
Release Date: 2014-02

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to ensure edition identification: ++++ The Principle Of Least Action Philip Edward Bertrand Jourdain Open Court Publishing Company, 1913 Science; Mechanics; Dynamics; General; Least action; Science / Mechanics / Dynamics / General

Hamilton s Principle

Author: Frederic P. Miller
ISBN: 6130627610
Release Date: 2010-09-17
Genre: Science

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In physics, Hamilton's principle is William Rowan Hamilton's formulation of the principle of stationary action. It states that the dynamics of a physical system is determined by a variational problem for a functional based on a single function, the Lagrangian, which contains all physical information concerning the system and the forces acting on it. The variational problem is equivalent to and allows for the derivation of the differential equations of motion of the physical system. Although formulated originally for classical mechanics, Hamilton's principle also applies to classical fields such as the electromagnetic and gravitational fields, and has even been extended to quantum mechanics, quantum field theory and criticality theories.

The Principle of Least Action

Author: Philip Edward Bertrand Jourdain
Publisher: Franklin Classics
ISBN: 034349051X
Release Date: 2018-10-16

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Variational Principles in Dynamics and Quantum Theory

Author: Wolfgang Yourgrau
Publisher: Courier Corporation
ISBN: 9780486151137
Release Date: 2012-04-26
Genre: Science

DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div

Feynman s Thesis

Author: Richard Phillips Feynman
Publisher: World Scientific
ISBN: 9789812563668
Release Date: 1942
Genre: Science

Richard Feynman's never previously published doctoral thesis formed the heart of much of his brilliant and profound work in theoretical physics. Entitled ?The Principle of Least Action in Quantum Mechanics," its original motive was to quantize the classical action-at-a-distance electrodynamics. Because that theory adopted an overall space?time viewpoint, the classical Hamiltonian approach used in the conventional formulations of quantum theory could not be used, so Feynman turned to the Lagrangian function and the principle of least action as his points of departure.The result was the path integral approach, which satisfied ? and transcended ? its original motivation, and has enjoyed great success in renormalized quantum field theory, including the derivation of the ubiquitous Feynman diagrams for elementary particles. Path integrals have many other applications, including atomic, molecular, and nuclear scattering, statistical mechanics, quantum liquids and solids, Brownian motion, and noise theory. It also sheds new light on fundamental issues like the interpretation of quantum theory because of its new overall space?time viewpoint.The present volume includes Feynman's Princeton thesis, the related review article ?Space?Time Approach to Non-Relativistic Quantum Mechanics? [Reviews of Modern Physics 20 (1948), 367?387], Paul Dirac's seminal paper ?The Lagrangian in Quantum Mechanics'' [Physikalische Zeitschrift der Sowjetunion, Band 3, Heft 1 (1933)], and an introduction by Laurie M Brown.