Quantum tops as examples of commuting differential operators

DOI10.1007/s11232-012-0107-5zbMath1283.81093arXiv1109.6770OpenAlexW3106000172MaRDI QIDQ395093

A. B. Shabat, V. G. Marikhin, Vsevolod Eduardovich Adler

Publication date: 28 January 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6770

zbMATH Keywords

quantizationoperator algebraintegrable top

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Motion of the gyroscope (70E05)

Cites Work

• Unnamed Item
• Differential operators commuting in the principal part
• A new integrable case of the motion of the 4-dimensional rigid body
• The periodic problem for the Korteweg-de Vries equation
• Note on the integration of Euler's equations of the dynamics of an \(n\)-dimensional rigid body
• Pure quantum integrability
• Transformation of a pair of commuting hamiltonians quadratic in momenta to canonical form and real partial separation of variables for the Clebsch top
• Separation of variables on a non-hyperelliptic curve
• Remarks on Kowalevski's top
• Lamé Equation, Quantum Euler Top and Elliptic Bernoulli Polynomials
• The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
• Quantum Euler-Manakov top on the three-sphere S₃
• Note on Kowalewski's Top in Quantum Mechanics

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