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2001•Journal of Mathematical PhysicsRequires access

Coordinate Bethe ansatz for the one-dimensional SU(n) Hubbard model with open boundary conditions

Guang-Liang Li, Rui‐Hong Yue, Kangjie Shi

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Abstract

The one-dimensional (1D) SU(n) Hubbard model with open boundary condition is solved by using the coordinate Bethe ansatz method. The energy and integrable boundary conditions are obtained. At the same time, the corresponding Bethe ansatz equations are achieved by diagonalizing the inhomogeneous transfer matrix of the open SU(2n−2) XXX vertex model. When n=2, our result comes back to that of the 1D Hubbard model given by Deguchi and Yue (con-mat/9704138).

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What this paper is about

The one-dimensional (1D) SU(n) Hubbard model with open boundary condition is solved by using the coordinate Bethe ansatz method. The energy and integrable boundary conditions are obtained. At the same time, the corresponding Bethe ansatz equations are achieved by diagonalizing the inhomogeneous transfer matrix of the open SU(2n−2) XXX vertex model. When n=2, our result comes back to that of the 1D Hubbard model given by Deguchi and Yue (con-mat/9704138).

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Available abstract

The one-dimensional (1D) SU(n) Hubbard model with open boundary condition is solved by using the coordinate Bethe ansatz method. The energy and integrable boundary conditions are obtained. At the same time, the corresponding Bethe ansatz equations are achieved by diagonalizing the inhomogeneous transfer matrix of the open SU(2n−2) XXX vertex model. When n=2, our result comes back to that of the 1D Hubbard model given by Deguchi and Yue (con-mat/9704138).

Key concepts: Bethe ansatz, Hubbard model, Integrable system, Mathematical physics, Ansatz, Boundary value problem, Boundary (topology), Physics

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