Hardy and Lieb-Thirring Inequalities for Anyons

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Hardy and Lieb-Thirring Inequalities for Anyons. / Lundholm, Douglas Björn Alexander; Solovej, Jan Philip.

I: Communications in Mathematical Physics, Bind 322, Nr. 3, 2013, s. 883-908.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Lundholm, DBA & Solovej, JP 2013, 'Hardy and Lieb-Thirring Inequalities for Anyons', Communications in Mathematical Physics, bind 322, nr. 3, s. 883-908. https://doi.org/10.1007/s00220-013-1748-4

APA

Lundholm, D. B. A., & Solovej, J. P. (2013). Hardy and Lieb-Thirring Inequalities for Anyons. Communications in Mathematical Physics, 322(3), 883-908. https://doi.org/10.1007/s00220-013-1748-4

Vancouver

Lundholm DBA, Solovej JP. Hardy and Lieb-Thirring Inequalities for Anyons. Communications in Mathematical Physics. 2013;322(3):883-908. https://doi.org/10.1007/s00220-013-1748-4

Author

Lundholm, Douglas Björn Alexander ; Solovej, Jan Philip. / Hardy and Lieb-Thirring Inequalities for Anyons. I: Communications in Mathematical Physics. 2013 ; Bind 322, Nr. 3. s. 883-908.

Bibtex

@article{5a6d079178d243bca5d250f3d725355c,
title = "Hardy and Lieb-Thirring Inequalities for Anyons",
abstract = "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{\textquoteright}s original approach to the stability of fermionic matter in three dimensions, we prove a Lieb-Thirring inequality for these types of anyons.",
author = "Lundholm, {Douglas Bj{\"o}rn Alexander} and Solovej, {Jan Philip}",
year = "2013",
doi = "10.1007/s00220-013-1748-4",
language = "English",
volume = "322",
pages = "883--908",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer",
number = "3",

}

RIS

TY - JOUR

T1 - Hardy and Lieb-Thirring Inequalities for Anyons

AU - Lundholm, Douglas Björn Alexander

AU - Solovej, Jan Philip

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

U2 - 10.1007/s00220-013-1748-4

DO - 10.1007/s00220-013-1748-4

M3 - Journal article

VL - 322

SP - 883

EP - 908

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -

ID: 102683519