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arXiv:math-ph/9911022

Bethe-ansatz equations for quantum Heisenberg chains with elliptic exchange

V. I. Inozemtsev

Published Nov 17, 1999• 2 citations
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Abstract

The eigenvectors of the Hamiltonian ${\cal H}_{N}$ 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.

DOI
10.48550/arxiv.math-ph/9911022

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The eigenvectors of the Hamiltonian HN{\cal H}_{N}HN​ of NNN-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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