Hardy and Lieb-Thirring Inequalities for Anyons
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
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.
Mathematical Analysis Condensed Matter Physics
Research subject Mathematics; Physics
IdentifiersURN: urn:nbn:se:kth:diva-179450DOI: 10.1007/s00220-013-1748-4ISI: 000321957000008ScopusID: 2-s2.0-84880509717OAI: oai:DiVA.org:kth-179450DiVA: diva2:883214
QC 201601192015-12-162015-12-162016-01-19Bibliographically approved