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Author : Alberto G. Rojo
Release : 2018-03-29
Genre : Mathematics
Kind : eBook
Book Rating : 021/5 ( reviews)
Book Synopsis The Principle of Least Action by : Alberto G. Rojo
Download or read book The Principle of Least Action written by Alberto G. Rojo. This book was released on 2018-03-29. Available in PDF, EPUB and Kindle. Book excerpt: This text brings history and the key fields of physics together to present a unique technical discussion of the principles of least action.
Author :
Release : 1965
Genre : Electromagnetism
Kind : eBook
Book Rating : 165/5 ( reviews)
Book Synopsis The Feynman lectures on physics: Mainly electromagnetism and matter by :
Download or read book The Feynman lectures on physics: Mainly electromagnetism and matter written by . This book was released on 1965. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jennifer Coopersmith
Release : 2017-04-28
Genre : Science
Kind : eBook
Book Rating : 720/5 ( reviews)
Book Synopsis The Lazy Universe by : Jennifer Coopersmith
Download or read book The Lazy Universe written by Jennifer Coopersmith. This book was released on 2017-04-28. Available in PDF, EPUB and Kindle. Book excerpt: This is a rare book on a rare topic: it is about 'action' and the Principle of Least Action. A surprisingly well-kept secret, 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). Lanczos was a brilliant mathematician and educator, but his book was for a postgraduate audience. The present book is no mere copy with the difficult bits left out - it is original, and a popularization. It aims to explain ideas rather than achieve technical competence, and to show how Least Action leads into the whole of physics.
Author : Karl Friedrich Siburg
Release : 2004-05-17
Genre : Computers
Kind : eBook
Book Rating : 446/5 ( reviews)
Book Synopsis The Principle of Least Action in Geometry and Dynamics by : Karl Friedrich Siburg
Download or read book The Principle of Least Action in Geometry and Dynamics written by Karl Friedrich Siburg. This book was released on 2004-05-17. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Richard Phillips Feynman
Release : 2005
Genre : Science
Kind : eBook
Book Rating : 660/5 ( reviews)
Book Synopsis Feynman's Thesis by : Richard Phillips Feynman
Download or read book Feynman's Thesis written by Richard Phillips Feynman. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: 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.
