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In this work, we study the wave functions of the one-dimensional 1/r Hubbard model in the strong-interaction limit U = ∞. A set of Gutzwiller-Jastorw wave functions are shown to be eigenfunctions of the Hamiltonian. The entire excitation spectrum and the thermodynamics are also studied in terms of more generalized Jastrow wave functions. For the wave functions and integrability conditions at finite on-site energy, further investigations are needed.

Gutzwiller-Jastrow wave functions for the 1/rHubbard model