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Local density approximation for almost-bosonic anyons
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-3456-5846
2018 (English)In: Contemporary Mathematics, ISSN 0271-4132, E-ISSN 1098-3627, Vol. 717, p. 77-92Article in journal (Refereed) Published
Abstract [en]

We discuss the average-field approximation for a trapped gas of non-interacting anyons in the quasi-bosonic regime. In the homogeneous case, i.e., for a confinement to a bounded region, we prove that the energy in the regime of large statistics parameter, i.e., for “less-bosonic” anyons, is independent of boundary conditions and of the shape of the domain. When a non-trivial trapping potential is present, we derive a local density approximation in terms of a Thomas-Fermi-like model. The results presented here mainly summarize [Anal. PDE 10 (2017), 1169-1200] with additional remarks and strengthening of some statements.

Place, publisher, year, edition, pages
American Mathematical Society (AMS), 2018. Vol. 717, p. 77-92
National Category
Mathematical Analysis
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URN: urn:nbn:se:kth:diva-246517DOI: 10.1090/conm/717/14442ISI: 000465195200006Scopus ID: 2-s2.0-85059770658OAI: oai:DiVA.org:kth-246517DiVA, id: diva2:1297997
Note

QC 20190321

Available from: 2019-03-21 Created: 2019-03-21 Last updated: 2019-10-18Bibliographically approved

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Lundholm, Douglas

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