The extended Bethe Ansatz for infinite \(S=1/2\) quantum spin chains with non-nearest-neighbor interaction
The author constructs eigenvectors for a Hamiltonian \(H_ s\) describing interacting spin-1/2 systems with a \(\sinh^{-2}\) interaction in terms of ``\(N\)-magnon wave functions''. A parallel is made with the case of a ``continuous''-Hamiltonian with \(\sinh^{-2}\) potential, where zonal spherical functions on a suitable symmetric space play a similar role. The Bethe Ansatz is recovered by limiting processes.
scientific article; zbMATH DE number 95435