Bethe-ansatz equations for quantum Heisenberg chains with elliptic exchange

Abstract

The eigenvectors of the Hamiltonian ${\mathcal{H}}_N$ of $N$-sites quantum spin chains with elliptic exchange are connected with the double Bloch meromorphic solutions of the quantum continuous elliptic Calogero-Moser problem. This fact allows one to find the eigenvectors via the solutions to the system of highly transcendental equations of Bethe-ansatz type which is presented in explicit form.

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