Jump to ContentJump to Main Navigation
Analytical Mechanics for Relativity and Quantum Mechanics$
Users without a subscription are not able to see the full content.

Oliver Johns

Print publication date: 2011

Print ISBN-13: 9780191001628

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780191001628.001.0001

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: 27 May 2019

Lagrangian Mechanics with Time as a Coordinate

Lagrangian Mechanics with Time as a Coordinate

Chapter:
(p.290) (p.291) 13 Lagrangian Mechanics with Time as a Coordinate
Source:
Analytical Mechanics for Relativity and Quantum Mechanics
Author(s):

Oliver Davis Johns

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780191001628.003.0013

This chapter presents an extended theory in which the traditional Lagrange equations and generalised energy theorem are combined into a single set of equations that restore the symmetry of the mathematical system. The traditional Lagrangian methods are analogous to the ‘coordinate parametric method’ in the calculus of variations, while the extended Lagrangian theory is analogous to the recommended ‘general parametric method’. The generalised energy theorem of traditional Lagrangian theory, which had been a separate equation analogous to the ‘second form’ of the Euler-Lagrange equations, gets restored to its proper place as just another of the extended Lagrange equations, which now form a complete set of equations appropriate to the problem.

Keywords:   traditional Lagrange equations, generalized energy theorem, mathematical system, coordinate parametric method, general parametric method

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 .