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Exact Solution of the Sutherland Model with arbitrary symmetry

Yusuke Kato·Yoshio Kuramoto
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Abstract

An elementary theory is presented for solving the Sutherland model with arbitrary internal symmetry such as SU($ν$) or a supersymmetry SU($ν, μ$). The ground state wave function and all the energy levels are derived. One starts with solving a variant of the model with distinguishable particles, and then (anti)symmetrizes the solution. The theory is also applied to various lattice versions of the model. It is proved that the Gutzwiller-type wave function is not only an eigenstate of the supersymmetric \it t-J \rm model, but is indeed the ground state.

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Yusuke Kato, Yoshio Kuramoto. 1994-09-12. Exact Solution of the Sutherland Model with arbitrary symmetry. https://doi.org/10.1103/physrevlett.74.1222

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