Diagonalization of 2-D inhomogeneous model related to the Hubbard model

Abstract

We 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.

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