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Hardy and Lieb-Thirring Inequalities for Anyons
University of Copenhagen.ORCID iD: 0000-0003-3456-5846
University of Copenhagen.
2013 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 322, no 3, 883-908 p.Article in journal (Refereed) PublishedText
Abstract [en]

We consider the many-particle quantum mechanics of anyons, i.e. identical particles in two space dimensions with a continuous statistics parameter α∈[0,1] ranging from bosons (α = 0) to fermions (α = 1). We prove a (magnetic) Hardy inequality for anyons, which in the case that α is an odd numerator fraction implies a local exclusion principle for the kinetic energy of such anyons. From this result, and motivated by Dyson and Lenard’s original approach to the stability of fermionic matter in three dimensions, we prove a Lieb-Thirring inequality for these types of anyons.

Place, publisher, year, edition, pages
Springer, 2013. Vol. 322, no 3, 883-908 p.
National Category
Mathematical Analysis Condensed Matter Physics
Research subject
Mathematics; Physics
URN: urn:nbn:se:kth:diva-179450DOI: 10.1007/s00220-013-1748-4ISI: 000321957000008ScopusID: 2-s2.0-84880509717OAI: diva2:883214

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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