Bethe Ansatz Equation for the Hubbard Model with Boundary Fields

Abstract

We apply the coordinate Bethe ansatz method to the one-dimensionalHubbard model with boundary fields. We find two integrable boundaries, that is, the boundary chemical potential and the boundary magnetic field. In total, four possible boundary conditions are explicitly presented. Using the Bethe ansatz equations, the finite size corrections and the low-lying excitation spectrum are evaluated.