|
|||||
 |
|
|
|
|
|
|
Quantum mean-field
asymptotics and multiscale analysis
Zied Ammari, Sébastien Breteaux and Francis Nier |
|
Vol. 1 (2019), No. 2, 221–272
|
Abstract |
|
We study, via multiscale analysis, a defect-of-compactness phenomenon which occurs in bosonic and fermionic quantum mean-field problems. The approach relies on a combination of mean-field asymptotics and second microlocalized semiclassical measures. The phase space geometric description is illustrated by various examples. |
PDF Access Denied
We have not been able to recognize your IP address
3.14.70.203
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
semiclassical measures, multiscale measures, reduced
density matrices, second quantization, microlocal analysis
|
Mathematical Subject Classification 2010
Primary: 81S30, 81Q20, 81V70, 81S05
|
Milestones
Received: 16 October 2017
Accepted: 27 February 2018
Published: 14 May 2018
|
Authors |
| Zied Ammari | |
| IRMAR Université de Rennes I UMR-CNRS 6625 Campus de Beaulieu Rennes France |
|
| Sébastien Breteaux | |
| Institut Elie Cartan de
Lorraine Université de Lorraine Metz France |
|
| Francis Nier | |
| LAGA UMR-CNRS 9345 Université de Paris 13 Villetaneuse France |
|
