Jump to ContentJump to Main Navigation
Advanced Statistical Mechanics$
Users without a subscription are not able to see the full content.

Barry M McCoy

Print publication date: 2009

Print ISBN-13: 9780199556632

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199556632.001.0001

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: 18 July 2019

Theorems on order

Theorems on order

Chapter:
(p.92) 4 Theorems on order
Source:
Advanced Statistical Mechanics
Author(s):

Barry M. McCoy

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199556632.003.0004

This chapter discusses Hales proof of Kepler's conjecture for densest packing of hard spheres and recent extensions to hard ellipsoids. It gives the proofs of lack of certain types of order in one and two dimensions. It discusses the proofs of existence of ferromagnetic and antiferromagnetic order in classical and quantum Heisenberg magnets in three dimensions. Open questions and ‘missing theorems’ are presented.

Keywords:   densest packing, Kepler, Heisenberg magnets, Hale

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 .