Inozemtsev, V. I. The eigenvectors of the Heisenberg Hamiltonian with elliptic form of the exchange spin interaction. (English) Zbl 1362.82009 J. Nonlinear Math. Phys. 12, Suppl. 1, 395-403 (2005). Summary: The eigenvectors of the Hamiltonian \(\mathcal H_n\) of \(N\)-site 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. Cited in 2 Documents MSC: 82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics 82B23 Exactly solvable models; Bethe ansatz PDFBibTeX XMLCite \textit{V. I. Inozemtsev}, J. Nonlinear Math. Phys. 12, 395--403 (2005; Zbl 1362.82009) Full Text: DOI