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