Fermionic behavior of ideal anyons

We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter [Formula: see text] . The lower bounds extend to Lieb–Thirring inequalities for all anyons excep...

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Detalles Bibliográficos
Autores principales: Lundholm, Douglas, Seiringer, Robert
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182811/
https://www.ncbi.nlm.nih.gov/pubmed/30369713
http://dx.doi.org/10.1007/s11005-018-1091-y
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author Lundholm, Douglas
Seiringer, Robert
author_facet Lundholm, Douglas
Seiringer, Robert
author_sort Lundholm, Douglas
collection PubMed
description We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter [Formula: see text] . The lower bounds extend to Lieb–Thirring inequalities for all anyons except bosons.
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spelling pubmed-61828112018-10-24 Fermionic behavior of ideal anyons Lundholm, Douglas Seiringer, Robert Lett Math Phys Article We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter [Formula: see text] . The lower bounds extend to Lieb–Thirring inequalities for all anyons except bosons. Springer Netherlands 2018-05-11 2018 /pmc/articles/PMC6182811/ /pubmed/30369713 http://dx.doi.org/10.1007/s11005-018-1091-y Text en © The Author(s) 2018 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Lundholm, Douglas
Seiringer, Robert
Fermionic behavior of ideal anyons
title Fermionic behavior of ideal anyons
title_full Fermionic behavior of ideal anyons
title_fullStr Fermionic behavior of ideal anyons
title_full_unstemmed Fermionic behavior of ideal anyons
title_short Fermionic behavior of ideal anyons
title_sort fermionic behavior of ideal anyons
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182811/
https://www.ncbi.nlm.nih.gov/pubmed/30369713
http://dx.doi.org/10.1007/s11005-018-1091-y
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AT seiringerrobert fermionicbehaviorofidealanyons

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