Jump to ContentJump to Main Navigation
Advanced MechanicsFrom Euler's Determinism to Arnold's Chaos$
Users without a subscription are not able to see the full content.

S. G. Rajeev

Print publication date: 2013

Print ISBN-13: 9780199670857

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199670857.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 16 July 2019

The variational principle

The variational principle

Chapter:
(p.1) 1 The variational principle
Source:
Advanced Mechanics
Author(s):

S. G. Rajeev

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199670857.003.0001

This chapter looks at the equations of motion of a particle and describes the conditions that they present. It is not always a minimum, more commonly a saddle point. This chapter follows the ancient method of Euler and Lagrange to derive this fact. The quantum mechanical origin of this principle is also outlined: the average over all paths is dominated by the extremum in the limit of small Planck's constant.

Keywords:   Planck's constant, Lagrange, saddle point

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .