Lieb-Thirring Bounds for Interacting Bose Gases

Douglas Lundholm; Fabian Portmann; Jan Philip Solovej

doi:10.1007/s00220-014-2278-4

Lieb-Thirring Bounds for Interacting Bose Gases

Douglas Lundholm, Fabian Portmann, Jan Philip Solovej

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

12 Citationer (Scopus)

1413 Downloads (Pure)

Abstract

We study interacting Bose gases and prove lower bounds for the kinetic plus interaction energy of a many-body wave function in terms of its particle density. These general estimates are then applied to various types of interactions, including hard sphere (in 3D) and hard disk (in 2D) as well as a general class of homogeneous potentials.

Originalsprog	Engelsk
Tidsskrift	Communications in Mathematical Physics
Vol/bind	335
Udgave nummer	2
Sider (fra-til)	1019-1056
ISSN	0010-3616
DOI	https://doi.org/10.1007/s00220-014-2278-4
Status	Udgivet - 30 jan. 2015

Adgang til dokumentet

10.1007/s00220-014-2278-4

ArXiv pdfAccepteret manuskript, 394 KB

Citationsformater

@article{b86f6aa9886b45ca8728f217b86f9c0f,

title = "Lieb-Thirring Bounds for Interacting Bose Gases",

abstract = "We study interacting Bose gases and prove lower bounds for the kinetic plus interaction energy of a many-body wave function in terms of its particle density. These general estimates are then applied to various types of interactions, including hard sphere (in 3D) and hard disk (in 2D) as well as a general class of homogeneous potentials.",

keywords = "math-ph, cond-mat.quant-gas, math.MP, math.SP, 81Q10, 35P15, 46N50",

author = "Douglas Lundholm and Fabian Portmann and Solovej, {Jan Philip}",

year = "2015",

month = jan,

day = "30",

doi = "10.1007/s00220-014-2278-4",

language = "English",

volume = "335",

pages = "1019--1056",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer",

number = "2",

}

TY - JOUR

T1 - Lieb-Thirring Bounds for Interacting Bose Gases

AU - Lundholm, Douglas

AU - Portmann, Fabian

AU - Solovej, Jan Philip

PY - 2015/1/30

Y1 - 2015/1/30

N2 - We study interacting Bose gases and prove lower bounds for the kinetic plus interaction energy of a many-body wave function in terms of its particle density. These general estimates are then applied to various types of interactions, including hard sphere (in 3D) and hard disk (in 2D) as well as a general class of homogeneous potentials.

AB - We study interacting Bose gases and prove lower bounds for the kinetic plus interaction energy of a many-body wave function in terms of its particle density. These general estimates are then applied to various types of interactions, including hard sphere (in 3D) and hard disk (in 2D) as well as a general class of homogeneous potentials.

KW - math-ph

KW - cond-mat.quant-gas

KW - math.MP

KW - math.SP

KW - 81Q10, 35P15, 46N50

U2 - 10.1007/s00220-014-2278-4

DO - 10.1007/s00220-014-2278-4

M3 - Journal article

VL - 335

SP - 1019

EP - 1056

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -