The extended Bethe Ansatz for infinite \(S=1/2\) quantum spin chains with non-nearest-neighbor interaction
type: Item
instance of: scholarly article
title: The extended Bethe Ansatz for infinite \(S=1/2\) quantum spin chains with non-nearest-neighbor interaction
zbMATH Open document ID: 0777.35076
DOI: 10.1007/BF02100866
author: V. I. Inozemtsev
published in: Communications in Mathematical Physics
publication date: 1993-01-16T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 35Q58
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 81Q40
zbMATH DE Number: 95435
zbMATH Keywords: quantum spin chains
zbMATH Keywords: continuous Hamiltonian
zbMATH Keywords: eigenvectors
zbMATH Keywords: symmetric space
zbMATH Keywords: Bethe Ansatz
reviewed by: Satyanad Kichenassamy
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 95435