Adams, Stefan and König, Wolfgang (2008) Interacting Brownian motions and the Gross-Pitaevskii formula. In: Mörters, Peter and Moser, Roger and Penrose, Mathew and Schwetlick, Hartmut and Zimmer, Johannes, (eds.) Analysis and stochastics of growth processes and interface models. Oxford: Oxford University Press, pp. 173-193. ISBN 9780199239252

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Abstract

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.

Item Type:	Book Item
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Publisher:	Oxford University Press
Place of Publication:	Oxford
ISBN:	9780199239252
Book Title:	Analysis and stochastics of growth processes and interface models
Editor:	Mörters, Peter and Moser, Roger and Penrose, Mathew and Schwetlick, Hartmut and Zimmer, Johannes
Official Date:	2008
Dates:	Date Event 2008 Published
Number of Pages:	336
Page Range:	pp. 173-193
DOI:	10.1093/acprof:oso/9780199239252.003.0008
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Related URLs:	http://webcat.warwick.ac.uk/record=b2253...

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