Generalized Gutzwiller States as Exact Excited States in the One-Dimensional Supersymmetric t-J Model with Long-Range Exchange and Transfer

set of generalized Gutzwiller-type wave functions with spin and charge currents and/or spin polarization are shown to be exact eigenstates of the supersymmetric t-Jtype model with long-range interactions. The increment of energy in the presence of currents is proportional to the square of the currents without any higher-order corrections for arbitrary size of the system. The exact excited states are identihed by the absence of statistical Huctuations in the variational Monte Carlo calculation. The spin susceptibility is found to be independent of the size, as in the case of the charge susceptibility.