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Local Exclusion and Lieb-€“Thirring Inequalities for Intermediate and Fractional Statistics
Institut Mittag-Leffler.ORCID iD: 0000-0003-3456-5846
University of Copenhagen.
2014 (English)In: Annales de l'Institute Henri Poincare. Physique theorique, ISSN 1424-0637, E-ISSN 1424-0661, Vol. 15, no 6, 1061-1107 p.Article in journal (Refereed) PublishedText
Abstract [en]

In one and two spatial dimensions there is a logical possibility for identical quantum particles different from bosons and fermions, obeying intermediate or fractional (anyon) statistics. We consider applications of a recent Lieb–Thirring inequality for anyons in two dimensions, and derive new Lieb–Thirring inequalities for intermediate statistics in one dimension with implications for models of Lieb–Liniger and Calogero–Sutherland type. These inequalities follow from a local form of the exclusion principle valid for such generalized exchange statistics.

Place, publisher, year, edition, pages
Birkhauser Verlag , 2014. Vol. 15, no 6, 1061-1107 p.
National Category
Mathematical Analysis Condensed Matter Physics
Research subject
Mathematics; Physics
Identifiers
URN: urn:nbn:se:kth:diva-179451DOI: 10.1007/s00023-013-0273-5ISI: 000335979500002ScopusID: 2-s2.0-84901228703OAI: oai:DiVA.org:kth-179451DiVA: diva2:883224
Note

QC 20160119

Available from: 2015-12-16 Created: 2015-12-16 Last updated: 2016-01-19Bibliographically approved

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Lundholm, Douglas
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