Density Functional Theory of Bosons in a Trap

Details Density Functional Theory of Bosons in a Trap Density Functional Theory of Bosons in a Trap

2002-05-20

arxiv.org/abs/cond-mat/0205422v2

Physics

Condensed Matter

Soft Condensed Matter

10 pages

Scientific paper

10.1103/PhysRevA.67.015602

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

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