On generalizations of the Calogero–Moser–Sutherland quantum problem and WDVV equations

DOI10.1063/1.1505651zbMath1060.81037arXivmath-ph/0204050OpenAlexW2029494223MaRDI QIDQ4832816

Alexander P. Veselov

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0204050

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (1)

Lie superalgebras and Calogero-Moser-Sutherland systems

Cites Work

• Quantum systems related to root systems, and radial parts of Laplace operators
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• Multidimensional Baker-Akhiezer functions and Huygens' principle
• Deformations of the root systems and new solutions to generalised WDVV equations
• Superanalogs of the Calogero Operators and Jack Polynomials
• WDVV Equations from Algebra of Forms
• New integrable generalizations of Calogero–Moser quantum problem
• Locus configurations and \(\lor{}\)-systems\(^{\star{}}\)

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