Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional

Autor(en)

E H Lieb, Robert Seiringer, Jakob Yngvason

Abstrakt

The ground-state properties of interacting Bose gases in external potentials, as considered in recent experiments, are usually described by means of the Gross-Pitaevskii energy functional. We present here a rigorous proof of the asymptotic exactness of this approximation for the ground-state energy and particle density of a dilute Bose gas with a positive interaction.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Princeton University

Journal

Physical Review A

Band

61

Anzahl der Seiten

13

ISSN

1050-2947

DOI

https://doi.org/10.1103/PhysRevA.61.043602

Publikationsdatum

2000

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/d07bfca4-4952-44dd-8611-2a9e7ab997ee