2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/151694We found the eigenvalues of the transfer matrix for the 2-D inhomogeneous statistical model with twisted boundary condition by using the analytic Bethe Ansatz method. In the uniform case, the derived hamiltonian generalizes the 1-D Hubbard model with the twisted boundary. We also give the energy spectra for the derived hamiltonian.8 pages, Latex, no figure, to appear in the proceedings of the workshop on the infinite analysis and integrable model at RIMS, JapanStatistical Mechanicstext