The extended Bethe Ansatz for infinite \(S=1/2\) quantum spin chains with non-nearest-neighbor interaction

DOI10.1007/BF02100866zbMath0777.35076MaRDI QIDQ1200516

V. I. Inozemtsev

Publication date: 16 January 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

eigenvectorssymmetric spacequantum spin chainsBethe Ansatzcontinuous Hamiltonian

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Differential geometry of symmetric spaces (53C35) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

Related Items

Solution to three-magnon problem for S=1/2 periodic quantum spin chains with elliptic exchange, Thermodynamics of Inozemtsev's elliptic spin chain, Quantum phase transitions in a spin ladder with long-range couplings, The Hermite-like description of two-magnon states of 1D quantum \(S=1/2\) chains with elliptic exchange is complete, How coordinate Bethe ansatz works for Inozemtsev model

Cites Work

• On the connection between the one-dimensional \(S=1/2\) Heisenberg chain and Haldane-Shastry model
• Intertwining operators for solving differential equations, with applications to symmetric spaces
• The finite Toda lattices
• Three integrable Hamiltonian systems connected with isospectral deformations
• Zonal spherical functions on some symmetric spaces
• Commutative rings of partial differential operators and Lie algebras
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