Journal of Mathematical Physics

The dynamical elliptic quantum Gaudin models and their solutions

Bo-Yu Hou, Kangjie Shi, Rui‐Hong Yue, Shao-you Zhao A

Published Sep 26, 2002• 0 citations

Abstract

In this paper, we construct the Hamiltonians of both periodic and open elliptic quantum Gaudin models and show their relations with the elliptic quantum group, and the boundary elliptic quantum group, respectively. We define the eigenstates of these two models to be the Bethe vectors with η=0 of the elliptic quantum group and the boundary elliptic quantum group, respectively. Then, the Hamiltonians are exactly diagonalized by using the algebraic Bethe ansatz method.

DOI: 10.1063/1.1505665

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