Zhukovsky-Volterra top and quantisation ideals

DOI10.1016/J.NUCLPHYSB.2024.116648MaRDI QIDQ6597904

A. B. Mikhaĭlov, T. Skrypnyk

Publication date: 4 September 2024

Published in: Nuclear Physics B (Search for Journal in Brave)

zbMATH Keywords

Sklyanin algebraquantum topquadratic Poisson bracketsquantisation ideal

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Canonical quantization (81S08)

Cites Work

• Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras
• Painlevé VI, rigid tops and reflection equation
• Some algebraic structures connected with the Yang-Baxter equation
• Quantisations of the Volterra hierarchy
• The generalized Lipkin-Meshkov-Glick model and the modified algebraic Bethe ansatz
• Elliptic Gaudin-type model in an external magnetic field and modified algebraic Bethe ansatz
• A simple model of the integrable Hamiltonian equation
• Quantisation ideals of nonabelian integrable systems
• Integrable systems, Poisson pencils, and hyperelliptic Lax pairs

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