The energy of dilute Bose gases

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

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The energy of dilute Bose gases. / Fournais, Soren; Solovej, Jan Philip.

In: Annals of Mathematics, Vol. 192, No. 3, 11.2020, p. 893-976.

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

Harvard

Fournais, S & Solovej, JP 2020, 'The energy of dilute Bose gases', Annals of Mathematics, vol. 192, no. 3, pp. 893-976. https://doi.org/10.4007/annals.2020.192.3.5

APA

Fournais, S., & Solovej, J. P. (2020). The energy of dilute Bose gases. Annals of Mathematics, 192(3), 893-976. https://doi.org/10.4007/annals.2020.192.3.5

Vancouver

Fournais S, Solovej JP. The energy of dilute Bose gases. Annals of Mathematics. 2020 Nov;192(3):893-976. https://doi.org/10.4007/annals.2020.192.3.5

Author

Fournais, Soren ; Solovej, Jan Philip. / The energy of dilute Bose gases. In: Annals of Mathematics. 2020 ; Vol. 192, No. 3. pp. 893-976.

Bibtex

@article{ed3949e2a5c04cab9691d97ce23516a9,
title = "The energy of dilute Bose gases",
abstract = "For a dilute system of non-relativistic bosons interacting through a positive, compactly supported, L-1-potential v with scattering length a we prove that the ground state energy density satisfies the bound e(rho) >= 4 pi a rho(2)(1 + 128/15 root pi root rho a(3) + o(root rho a(3))), thereby proving the Lee-Huang-Yang formula for the energy density.",
keywords = "many-body quantum mechanics, dilute Bose gases, Bogolubov theory, Lee-Huang-Yang formula, GROUND-STATE ENERGY, EXCITATION SPECTRUM, INTERACTING BOSONS, ONE-COMPONENT",
author = "Soren Fournais and Solovej, {Jan Philip}",
year = "2020",
month = nov,
doi = "10.4007/annals.2020.192.3.5",
language = "English",
volume = "192",
pages = "893--976",
journal = "Annals of Mathematics",
issn = "0003-486X",
publisher = "Johns Hopkins University Press",
number = "3",

}

RIS

TY - JOUR

T1 - The energy of dilute Bose gases

AU - Fournais, Soren

AU - Solovej, Jan Philip

PY - 2020/11

Y1 - 2020/11

N2 - For a dilute system of non-relativistic bosons interacting through a positive, compactly supported, L-1-potential v with scattering length a we prove that the ground state energy density satisfies the bound e(rho) >= 4 pi a rho(2)(1 + 128/15 root pi root rho a(3) + o(root rho a(3))), thereby proving the Lee-Huang-Yang formula for the energy density.

AB - For a dilute system of non-relativistic bosons interacting through a positive, compactly supported, L-1-potential v with scattering length a we prove that the ground state energy density satisfies the bound e(rho) >= 4 pi a rho(2)(1 + 128/15 root pi root rho a(3) + o(root rho a(3))), thereby proving the Lee-Huang-Yang formula for the energy density.

KW - many-body quantum mechanics

KW - dilute Bose gases

KW - Bogolubov theory

KW - Lee-Huang-Yang formula

KW - GROUND-STATE ENERGY

KW - EXCITATION SPECTRUM

KW - INTERACTING BOSONS

KW - ONE-COMPONENT

U2 - 10.4007/annals.2020.192.3.5

DO - 10.4007/annals.2020.192.3.5

M3 - Journal article

VL - 192

SP - 893

EP - 976

JO - Annals of Mathematics

JF - Annals of Mathematics

SN - 0003-486X

IS - 3

ER -

ID: 255780746