Hardy and Lieb-Thirring Inequalities for Anyons
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
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
APA
Vancouver
Author
Bibtex
}
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