On the algebraic Bethe ansatz: Periodic boundary conditions

Details On the algebraic Bethe ansatz: Periodic boundary conditions On the algebraic Bethe ansatz: Periodic boundary conditions

2006-02-02

arxiv.org/abs/nlin/0602003v3

J.Stat.Mech.0607:P07003,2006

Nonlinear Sciences

Exactly Solvable and Integrable Systems

36 pages, LaTex, Minor Revision

Scientific paper

10.1088/1742-5468/2006/07/P07003

In this paper, the algebraic Bethe ansatz with periodic boundary conditions
is used to investigate trigonometric vertex models associated with the
fundamental representations of the non-exceptional Lie algebras. This
formulation allow us to present explicit expressions for the eigenvectors and
eigenvalues of the respective transfer matrices.

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