Lieb-Thirring Bounds for Interacting Bose Gases
2015 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 335, no 2, 1019-1056 p.Article in journal (Refereed) Published
We study interacting Bose gases and prove lower bounds for the kinetic plus interaction energy of a many-body wave function in terms of its particle density. These general estimates are then applied to various types of interactions, including hard sphere (in 3D) and hard disk (in 2D) as well as a general class of homogeneous potentials.
Place, publisher, year, edition, pages
2015. Vol. 335, no 2, 1019-1056 p.
Interacting Bose gas, quantum many-body problem, energy inequalities, Lieb-Thirring inequalities, local exclusion principle, local uncertainty principle, hard-sphere interaction, hard-disk interaction, homogeneous potentials, scattering length
Mathematical Analysis Condensed Matter Physics
Research subject Mathematics; Physics
IdentifiersURN: urn:nbn:se:kth:diva-145067DOI: 10.1007/s00220-014-2278-4ISI: 000350367700015ScopusID: 2-s2.0-84925493862OAI: oai:DiVA.org:kth-145067DiVA: diva2:716044
FunderKnut and Alice Wallenberg Foundation, KAW 2010.0063Swedish Research Council, 2013-4734 2012-3864EU, European Research Council, 321029
QC 20150408. Updated from manuscript to article in journal.2014-05-072014-05-072015-04-08Bibliographically approved