2003•Journal of Physics A Mathematical and GeneralOpen access

Algebraic Bethe ansatz for integrable one-dimensional extended Hubbard models with open boundary conditions

Xiangyu Ge, M. D. Gould

Abstract

Nine classes of integrable open boundary conditions, further extending the one-dimensional U q ( gl (2|2)) extended Hubbard model, have been constructed previously by means of the boundary Z 2 -graded quantum inverse scattering method. The boundary systems are now solved by using the algebraic Bethe ansatz method, and the Bethe ansatz equations are obtained for all nine cases.

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Key concepts: Bethe ansatz, Integrable system, Quantum inverse scattering method, Algebraic number, Boundary (topology), Boundary value problem, Hubbard model, Mathematical physics