The energy of dilute Bose gases

Soren Fournais; Jan Philip Solovej

doi:10.4007/annals.2020.192.3.5

The energy of dilute Bose gases

Soren Fournais^*, Jan Philip Solovej

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

56 Citations (Scopus)

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 (Formula Presented), thereby proving the Lee-Huang-Yang formula for the energy density.

Original language	English
Journal	Annals of Mathematics
Volume	192
Issue	3
Pages (from-to)	893-976
Number of pages	84
ISSN	0003-486X
DOIs	https://doi.org/10.4007/annals.2020.192.3.5
Publication status	Published - Nov 2020

Keywords

Bogolubov theory
EXCITATION SPECTRUM
GROUND-STATE ENERGY
INTERACTING BOSONS
Lee-Huang-Yang formula
ONE-COMPONENT
dilute Bose gases
many-body quantum mechanics
Dilute bose gases
Many-body quantum mechanics
Lee-huang-yang formula

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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 (Formula Presented), thereby proving the Lee-Huang-Yang formula for the energy density.",

keywords = "Bogolubov theory, EXCITATION SPECTRUM, GROUND-STATE ENERGY, INTERACTING BOSONS, Lee-Huang-Yang formula, ONE-COMPONENT, dilute Bose gases, many-body quantum mechanics, Dilute bose gases, Many-body quantum mechanics, Lee-huang-yang formula",

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 = "Department of Mathematics at Princeton University",

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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 (Formula Presented), 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 (Formula Presented), thereby proving the Lee-Huang-Yang formula for the energy density.

KW - Bogolubov theory

KW - EXCITATION SPECTRUM

KW - GROUND-STATE ENERGY

KW - INTERACTING BOSONS

KW - Lee-Huang-Yang formula

KW - ONE-COMPONENT

KW - dilute Bose gases

KW - many-body quantum mechanics

KW - Dilute bose gases

KW - Many-body quantum mechanics

KW - Lee-huang-yang formula

UR - https://www.scopus.com/pages/publications/85097808346

U2 - 10.4007/annals.2020.192.3.5

DO - 10.4007/annals.2020.192.3.5

M3 - Journal article

SN - 0003-486X

VL - 192

SP - 893

EP - 976

JO - Annals of Mathematics

JF - Annals of Mathematics

IS - 3

ER -

The energy of dilute Bose gases

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Semiclassical Quantum Mechanics

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The energy of dilute Bose gases

Abstract

Keywords

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Semiclassical Quantum Mechanics

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