Jump to ContentJump to Main Navigation
Analysis and Stochastics of Growth Processes and Interface Models$
Users without a subscription are not able to see the full content.

Peter Mörters, Roger Moser, Mathew Penrose, Hartmut Schwetlick, and Johannes Zimmer

Print publication date: 2008

Print ISBN-13: 9780199239252

Published to Oxford Scholarship Online: September 2008

DOI: 10.1093/acprof:oso/9780199239252.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2018. 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: 09 December 2018

Interacting Brownian Motions and the Gross-Pitaevskii Formula

Interacting Brownian Motions and the Gross-Pitaevskii Formula

Chapter:
(p.173) 8 Interacting Brownian Motions and the Gross-Pitaevskii Formula
Source:
Analysis and Stochastics of Growth Processes and Interface Models
Author(s):

Stefan Adams

Wolfgang König

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199239252.003.0008

Bose–Einstein condensation predicts that, under certain conditions (in particular extremely low temperature), all particles will condense into one state. Some of the physical background is surveyed in this chapter. The Gross–Pitaevskii approximation for dilute systems is also discussed. Variational problems appear here naturally, as the quantum mechanical ground state is of interest. In connection with positive temperature, related probabilistic models, based on interacting Brownian motions in a trapping potential, are introduced. Again, large deviation techniques are used to determine the mean occupation measure, both for vanishing temperature and large particle number.

Keywords:   Bose–Einstein condensation, Gross–Pitaevskii approximation, in-teracting Brownian motion, large deviation techniques

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 .