The Ground State Energy of a Two-Dimensional Bose Gas

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Standard

The Ground State Energy of a Two-Dimensional Bose Gas. / Fournais, Søren; Girardot, Theotime; Junge, Lukas; Morin, Leo; Olivieri, Marco.

I: Communications in Mathematical Physics, Bind 405, Nr. 3, 59, 2024.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Fournais, S, Girardot, T, Junge, L, Morin, L & Olivieri, M 2024, 'The Ground State Energy of a Two-Dimensional Bose Gas', Communications in Mathematical Physics, bind 405, nr. 3, 59. https://doi.org/10.1007/s00220-023-04907-2

APA

Fournais, S., Girardot, T., Junge, L., Morin, L., & Olivieri, M. (2024). The Ground State Energy of a Two-Dimensional Bose Gas. Communications in Mathematical Physics, 405(3), [59]. https://doi.org/10.1007/s00220-023-04907-2

Vancouver

Fournais S, Girardot T, Junge L, Morin L, Olivieri M. The Ground State Energy of a Two-Dimensional Bose Gas. Communications in Mathematical Physics. 2024;405(3). 59. https://doi.org/10.1007/s00220-023-04907-2

Author

Fournais, Søren ; Girardot, Theotime ; Junge, Lukas ; Morin, Leo ; Olivieri, Marco. / The Ground State Energy of a Two-Dimensional Bose Gas. I: Communications in Mathematical Physics. 2024 ; Bind 405, Nr. 3.

Bibtex

@article{fe3d17d61a47449ab6db77775eeff4e4,
title = "The Ground State Energy of a Two-Dimensional Bose Gas",
abstract = "We prove the following formula for the ground state energy density of a dilute Bose gas with density ρ in 2 dimensions in the thermodynamic limit (Formula presented.) as ρa2→0. Here Y=|log(ρa2)|-1 and a is the scattering length of the two-body potential. This result in 2 dimensions corresponds to the famous Lee–Huang–Yang formula in 3 dimensions. The proof is valid for essentially all positive potentials with finite scattering length, in particular, it covers the crucial case of the hard core potential.",
author = "S{\o}ren Fournais and Theotime Girardot and Lukas Junge and Leo Morin and Marco Olivieri",
note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",
year = "2024",
doi = "10.1007/s00220-023-04907-2",
language = "English",
volume = "405",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer",
number = "3",

}

RIS

TY - JOUR

T1 - The Ground State Energy of a Two-Dimensional Bose Gas

AU - Fournais, Søren

AU - Girardot, Theotime

AU - Junge, Lukas

AU - Morin, Leo

AU - Olivieri, Marco

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024

Y1 - 2024

N2 - We prove the following formula for the ground state energy density of a dilute Bose gas with density ρ in 2 dimensions in the thermodynamic limit (Formula presented.) as ρa2→0. Here Y=|log(ρa2)|-1 and a is the scattering length of the two-body potential. This result in 2 dimensions corresponds to the famous Lee–Huang–Yang formula in 3 dimensions. The proof is valid for essentially all positive potentials with finite scattering length, in particular, it covers the crucial case of the hard core potential.

AB - We prove the following formula for the ground state energy density of a dilute Bose gas with density ρ in 2 dimensions in the thermodynamic limit (Formula presented.) as ρa2→0. Here Y=|log(ρa2)|-1 and a is the scattering length of the two-body potential. This result in 2 dimensions corresponds to the famous Lee–Huang–Yang formula in 3 dimensions. The proof is valid for essentially all positive potentials with finite scattering length, in particular, it covers the crucial case of the hard core potential.

U2 - 10.1007/s00220-023-04907-2

DO - 10.1007/s00220-023-04907-2

M3 - Journal article

AN - SCOPUS:85187285247

VL - 405

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

M1 - 59

ER -

ID: 385839572