Lieb-Thirring Bounds for Interacting Bose Gases

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 ge...

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Veröffentlicht in:	arXiv.org 2015-02
Hauptverfasser:	Lundholm, Douglas, Portmann, Fabian, Solovej, Jan Philip
Format:	Artikel
Sprache:	eng
Schlagworte:	Disk drives Lower bounds Mathematics - Mathematical Physics Mathematics - Spectral Theory Particle density (concentration) Physics - Mathematical Physics Physics - Quantum Gases
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Beschreibung
Zusammenfassung:	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.
ISSN:	2331-8422
DOI:	10.48550/arxiv.1402.4463