TY - JOUR
T1 - Bosons in a trap
T2 - A rigorous derivation of the Gross-Pitaevskii energy functional
AU - Lieb, Elliott H.
AU - Seiringer, Robert
AU - Yngvason, Jakob
PY - 2000
Y1 - 2000
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevA.61.043602
DO - 10.1103/PhysRevA.61.043602
M3 - Article
AN - SCOPUS:84894373577
SN - 1050-2947
VL - 61
SP - 13
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 4
ER -