Integrable systems of algebraic origin and separation of variables

DOI10.1007/s10688-018-0242-3zbMath1420.14076arXiv1712.04422OpenAlexW3102253348WikidataQ128494357 ScholiaQ128494357MaRDI QIDQ2314186

Oleg K. Sheinman

Publication date: 19 July 2019

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.04422

zbMATH Keywords

Lagrange interpolation polynomialPoisson bracketintegrable systemmethod of separation of variablesquantum analogueplane algebraic curvehyperelliptic Hitchin systems

Mathematics Subject Classification ID

Plane and space curves (14H50) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70)

Related Items (2)

Spectral curves of the hyperelliptic Hitchin systems ⋮ Hitchin systems on hyperelliptic curves

Cites Work

• Certain reductions of Hitchin systems of rank 2 and genera 2 and 3
• Jacobi's lectures on dynamics. Delivered at the University of Königsberg in the winter semester 1842--1843 and according to the notes prepared by C. W. Borchardt. Edited by A. Clebsch. Translated from the original German by K. Balagangadharan. Translation edited by Biswarup Banerjee
• Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann
• Commuting families in skew fields and quantization of Beauville's fibration
• Riemann surfaces, separation of variables and classical and quantum integrability
• Spectral curves of the hyperelliptic Hitchin systems
• Introduction to Classical Integrable Systems
• σ-Functions: Old and New Results

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