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: 15 June 2019

Relativistic Mechanics

Relativistic Mechanics

Chapter:
(p.395) 18 Relativistic Mechanics
Source:
Analytical Mechanics for Relativity and Quantum Mechanics
Author(s):

Oliver Davis Johns

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780191001628.003.0018

This chapter discusses the modified version of Newton's laws of motion. The relativistically modified mechanics is presented and then recast into a fourvector form that demonstrates its consistency with special relativity. Traditional Lagrangian and Hamiltonian mechanics can incorporate these modifications, but the transition to a manifestly covariant Lagrangian and Hamiltonian mechanics requires use of the extended Lagrangian and Hamiltonian methods. The traditional Lagrange and Hamilton equations derived here are covariant in the sense that they reproduce the relativistically modified equations of motion. However, it is advantageous to write Lagrangian and Hamiltonian mechanics in a manifestly covariant form in which only invariants and fourvectors appear in the equations. The consistency with special relativity is then apparent by inspection.

Keywords:   motion, Newton's laws, relativistically modified mechanics, fourvector form, special relativity

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 .