Published in:

Physical Review A 67,1 (2003) 015602;


A time-dependent Kohn-Sham-(KS-)like theory is presented for N bosons in three- and lower-dimensional traps. We derive coupled equations, which allow us to calculate the energies of elementary excitations. A rigorous proof is given to show that the KS-like equation correctly describes the properties of one-dimensional impenetrable bosons in a general time-dependent harmonic trap in the large-N limit.


bose-einstein condensate;; gross-pitaevskii approximation;; ground-state energy;; neutral atoms;; impenetrable bosons;; cesium atoms;; gases;; scattering;; excitations;; dimensions

Date of this Version

January 2003



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