Invariants of linear combinations of transpositions

DOI10.1007/BF00403251zbMath0866.58039OpenAlexW2092060670MaRDI QIDQ1906260

V. I. Inozemtsev

Publication date: 30 July 1997

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

Full work available at URL: https://doi.org/10.1007/bf00403251

zbMATH Keywords

elliptic functionsquantum mechanicscompletely integrable systems

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) Quantum equilibrium statistical mechanics (general) (82B10) Elliptic functions and integrals (33E05)

Related Items (6)

Thermodynamics of Inozemtsev's elliptic spin chain ⋮ On the solutions of 3-particle spin elliptic Calogero-Moser systems ⋮ Towards the proof of complete integrability of quantum elliptic many-body systems with spin degrees of freedom ⋮ A new perspective on the integrability of Inozemtsev's elliptic spin chain ⋮ Hierarchies of spin models related to Calogero-Moser models ⋮ 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
• Self-similar solutions of equations of Korteweg-deVries type
• Yang-Baxter equation in long-range interacting systems

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