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

Harvard

Lundholm, D & Solovej, JP 2013, 'Local exclusion principle for identical particles obeying intermediate and fractional statistics', Physical Review A (Atomic, Molecular and Optical Physics), bind 88, nr. 6, 062106. https://doi.org/10.1103/PhysRevA.88.062106

APA

Lundholm, D., & Solovej, J. P. (2013). Local exclusion principle for identical particles obeying intermediate and fractional statistics. Physical Review A (Atomic, Molecular and Optical Physics), 88(6), [062106]. https://doi.org/10.1103/PhysRevA.88.062106

Vancouver

Lundholm D, Solovej JP. Local exclusion principle for identical particles obeying intermediate and fractional statistics. Physical Review A (Atomic, Molecular and Optical Physics). 2013 dec. 16;88(6). 062106. https://doi.org/10.1103/PhysRevA.88.062106

Author

Lundholm, Douglas ; Solovej, Jan Philip. / Local exclusion principle for identical particles obeying intermediate and fractional statistics. I: Physical Review A (Atomic, Molecular and Optical Physics). 2013 ; Bind 88, Nr. 6.

Bibtex

@article{7d555e95596744119149af1fae4f2d18,
title = "Local exclusion principle for identical particles obeying intermediate and fractional statistics",
abstract = "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.",
author = "Douglas Lundholm and Solovej, {Jan Philip}",
year = "2013",
month = dec,
day = "16",
doi = "10.1103/PhysRevA.88.062106",
language = "English",
volume = "88",
journal = "Physical Review A - Atomic, Molecular, and Optical Physics",
issn = "1050-2947",
publisher = "American Physical Society",
number = "6",

}

RIS

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