Solution to three-magnon problem for S=1/2 periodic quantum spin chains with elliptic exchange

DOI10.1063/1.531380zbMath0895.33006OpenAlexW2075261199MaRDI QIDQ5284366

V. I. Inozemtsev

Publication date: 26 August 1998

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

Full work available at URL: https://doi.org/10.1063/1.531380

zbMATH Keywords

three-particle problemHeisenberg chainsthree-magnon problemelliptic exchange

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Other functions defined by series and integrals (33E20)

Related Items (2)

Explicit solution of the (quantum) elliptic Calogero-Sutherland model ⋮ How coordinate Bethe ansatz works for Inozemtsev model

Cites Work

• Unnamed Item
• On the connection between the one-dimensional \(S=1/2\) Heisenberg chain and Haldane-Shastry model
• Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
• The extended Bethe Ansatz for infinite \(S=1/2\) quantum spin chains with non-nearest-neighbor interaction
• Parabolic maximal functions associated with a distribution
• The Hermite-like description of two-magnon states of 1D quantum \(S=1/2\) chains with elliptic exchange is complete
• Commuting families of symmetric differential operators
• Representations of affine Lie algebras, parabolic differential equations, and Lamé functions
• Relativistic Calogero-Moser model as gauged WZW theory.
• Integrability in the theory of Schrödinger operator and harmonic analysis
• Hamiltonian group actions and dynamical systems of calogero type
• On the structure of eigenvectors of the multidimensional Lame operator
• Yang-Baxter equation in long-range interacting systems
• L-operator for Belavin’s R-matrix acting on the space of theta functions
• ‘‘Spinon gas’’ description of theS=1/2 Heisenberg chain with inverse-square exchange: Exact spectrum and thermodynamics
• Integral formulas for wave functions of quantum many-body problems and representations of 𝔤l n
• Study of Exactly Soluble One-Dimensional N-Body Problems

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