Local exclusion principle for identical particles obeying intermediate and fractional statistics
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Local exclusion principle for identical particles obeying intermediate and fractional statistics. / Lundholm, Douglas; Solovej, Jan Philip.
I: Physical Review A (Atomic, Molecular and Optical Physics), Bind 88, Nr. 6, 062106, 16.12.2013.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Local exclusion principle for identical particles obeying intermediate and fractional statistics
AU - Lundholm, Douglas
AU - Solovej, Jan Philip
PY - 2013/12/16
Y1 - 2013/12/16
N2 - A local exclusion principle is observed for identical particles obeying intermediate and fractional exchange statistics in one and two dimensions, leading to bounds for the kinetic energy in terms of the density. This has implications for models of Lieb-Liniger and Calogero-Sutherland type and implies a nontrivial lower bound for the energy of the anyon gas whenever the statistics parameter is an odd numerator fraction. We discuss whether this is actually a necessary requirement.
AB - A local exclusion principle is observed for identical particles obeying intermediate and fractional exchange statistics in one and two dimensions, leading to bounds for the kinetic energy in terms of the density. This has implications for models of Lieb-Liniger and Calogero-Sutherland type and implies a nontrivial lower bound for the energy of the anyon gas whenever the statistics parameter is an odd numerator fraction. We discuss whether this is actually a necessary requirement.
U2 - 10.1103/PhysRevA.88.062106
DO - 10.1103/PhysRevA.88.062106
M3 - Journal article
VL - 88
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 6
M1 - 062106
ER -
ID: 119291685