Fermionic R-operator approach for the small-polaron model with open boundary condition

Exact integrability and algebraic Bethe ansatz of the small-polaron model w ith the open boundary condition are discussed in the framework of the quant um inverse scattering method (QISM). We employ a new approach where the fer mionic R-operator which consists of fermion operators is a key object. It s atisfies the Yang-Baxter equation and the reflection equation with its corr esponding It-operator. Two kinds of 'super-transposition for the fermion op erators are defined and the dual reflection equation is obtained. These equ ations prove the integrability and the Bethe ansatz equation which agrees w ith the one obtained from the graded Yang-Baxter equation and the graded re flection equations.