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

Avinash Khare
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Abstract

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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Avinash Khare. 1998-04-20. N Fermion Ground State of Calogero-Sutherland Type Models in Two and Higher Dimensions. https://doi.org/10.1016/s0375-9601(98)00449-6

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