Quantum geometry and quantum mechanics of integrable systems

DOI10.1134/S1061920809010051zbMath1175.81134arXiv0908.2048OpenAlexW2952098630MaRDI QIDQ1033821

Mikhail V. Karasev

Publication date: 10 November 2009

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

Full work available at URL: https://arxiv.org/abs/0908.2048

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items (2)

Diophantine tori and pragmatic calculation of quasimodes for operators with integrable principal symbol ⋮ Quantum geometry and quantum mechanics of integrable systems. II

Cites Work

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• Weyl manifolds and deformation quantization
• Quantum integrable systems constrained on the sphere
• Asymptotics of the eigenvalues of operators with a Poisson algebra of symmetries in the highest symbol
• Quantum completely integrable systems connected with semi-simple Lie algebras
• Deformation theory and quantization. I: Deformations of symplectic structures
• Spectre conjoint d'opérateurs pseudo-différentiels qui commutent. I: Le cas non intégrable
• The algebraic Bethe ansatz and quantum integrable systems

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