Integrability and algebraic structure of the quantum Calogero-Moser model

DOI10.1016/0960-0779(93)90049-7zbMath0811.35113OpenAlexW1971136788MaRDI QIDQ1321707

Miki Wadati, Kazuhiro Hikami, Hideaki Ujino

Publication date: 8 May 1994

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(93)90049-7

zbMATH Keywords

Lax operatorboost operatorsconserved operators

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Inverse scattering problems in quantum theory (81U40) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70)

Related Items (5)

Algebraic approach to the eigenstates of the quantum Calogero model confined in an external harmonic well ⋮ Quantum Lax pairs via Dunkl and Cherednik operators ⋮ Lie superalgebras and Calogero-Moser-Sutherland systems ⋮ Direct proof of integrability of Calogero–Moser model ⋮ How coordinate Bethe ansatz works for Inozemtsev model

Cites Work

• Current algebras and Wess-Zumino model in two dimensions
• Three integrable Hamiltonian systems connected with isospectral deformations
• Quantum integrable systems
• Boost Operator and Its Application to Quantum Gelfand-Levitan Equation for Heisenberg-Ising Chain with Spin One-Half
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Integrability of Calogero-Moser Spin System

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