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Density Functional Theory of Bosons in a Trap

Yeong E. Kim·Alexander L. Zubarev
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Abstract

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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Yeong E. Kim, Alexander L. Zubarev. 2002-05-23. Density Functional Theory of Bosons in a Trap. https://doi.org/10.1103/physreva.67.015602

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