N Fermion Ground State of Calogero-Sutherland Type Models in Two and Higher Dimensions

Details N Fermion Ground State of Calogero-Sutherland Type Models in Two and Higher Dimensions N Fermion Ground State of Calogero-Sutherland Type Models in Two and Higher Dimensions

1998-04-20

arxiv.org/abs/cond-mat/9804212v1

Phys.Lett. A245 (1998) 14-18

Physics

Condensed Matter

10 pages, Latex file

Scientific paper

10.1016/S0375-9601(98)00449-6

I obtain the exact ground state of $N$-fermions in $D$-dimensions $(D \geq
2)$ in case the $N$ particles are interacting via long-ranged two-body and
three-body interactions and further they are also interacting via the harmonic
oscillator potential. I also obtain the $N$-fermion ground state in case the
oscillator potential is replaced by an $N$-body Coulomb-like interaction.

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