Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics

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Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics. / Lundholm, Douglas; Solovej, Jan Philip.

In: Annales Henri Poincare, Vol. 15, No. 6, 06.2014, p. 1061-1107.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Lundholm, D & Solovej, JP 2014, 'Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics', Annales Henri Poincare, vol. 15, no. 6, pp. 1061-1107. https://doi.org/10.1007/s00023-013-0273-5

APA

Lundholm, D., & Solovej, J. P. (2014). Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics. Annales Henri Poincare, 15(6), 1061-1107. https://doi.org/10.1007/s00023-013-0273-5

Vancouver

Lundholm D, Solovej JP. Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics. Annales Henri Poincare. 2014 Jun;15(6):1061-1107. https://doi.org/10.1007/s00023-013-0273-5

Author

Lundholm, Douglas ; Solovej, Jan Philip. / Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics. In: Annales Henri Poincare. 2014 ; Vol. 15, No. 6. pp. 1061-1107.

Bibtex

@article{35f39ca26a9d4629a9714b5273020cce,
title = "Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics",
abstract = "A local exclusion principle is observed for identical particles obeying intermediate/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 non-trivial 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 = "2014",
month = jun,
doi = "10.1007/s00023-013-0273-5",
language = "English",
volume = "15",
pages = "1061--1107",
journal = "Annales Henri Poincare",
issn = "1424-0637",
publisher = "Springer Basel AG",
number = "6",

}

RIS

TY - JOUR

T1 - Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics

AU - Lundholm, Douglas

AU - Solovej, Jan Philip

PY - 2014/6

Y1 - 2014/6

N2 - A local exclusion principle is observed for identical particles obeying intermediate/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 non-trivial 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/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 non-trivial 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 - 10.1007/s00023-013-0273-5

DO - 10.1007/s00023-013-0273-5

M3 - Journal article

VL - 15

SP - 1061

EP - 1107

JO - Annales Henri Poincare

JF - Annales Henri Poincare

SN - 1424-0637

IS - 6

ER -

ID: 130534023