The second-order correction to the ground state energy of the dilute bose gas

We establish the Lee-Huang-Yang formula for the ground state energy of a dilute Bose gas for a broad class of repulsive pair-interactions in 3D as a lower bound. Our result is valid in an appropriate parameter regime of soft potentials and confirms that the Bogoliubov approximation captures the righ...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Brietzke, Birger (VerfasserIn) , Solovej, Jan Philip (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: January 2, 2020
In: Annales Henri Poincaré
Year: 2020, Jahrgang: 21, Heft: 2, Pages: 571-626
ISSN:1424-0661
DOI:10.1007/s00023-019-00875-3
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00023-019-00875-3
Volltext
Verfasserangaben:Birger Brietzke and Jan Philip Solovej
Beschreibung
Zusammenfassung:We establish the Lee-Huang-Yang formula for the ground state energy of a dilute Bose gas for a broad class of repulsive pair-interactions in 3D as a lower bound. Our result is valid in an appropriate parameter regime of soft potentials and confirms that the Bogoliubov approximation captures the right second-order correction to the ground state energy.
Beschreibung:Gesehen am 26.03.2020
Beschreibung:Online Resource
ISSN:1424-0661
DOI:10.1007/s00023-019-00875-3