Calogero quantum problem, Knizhnik-Zamolodchikov equation, and Huygens principle

DOI10.1007/BF01102214zbMath0833.35118MaRDI QIDQ1902461

Alexander P. Veselov

Publication date: 21 November 1995

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

zbMATH Keywords

Coxeter groupHuygens principleKnizhnik-Zamolodchikov equationDunkl operatorHadamard problemCalogero quantum problem

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) PDEs in connection with quantum mechanics (35Q40)

Related Items (4)

BPS states in the \(\Omega\)-background and torus knots ⋮ Composition operators of convolution and multiplication by a function ⋮ On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera ⋮ KZ-Calogero correspondence revisited

Cites Work

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• Some applications of hypergeometric shift operators
• Current algebras and Wess-Zumino model in two dimensions
• Self-similar solutions of equations of Korteweg-deVries type
• E-compact extensions of topological spaces
• Three integrable Hamiltonian systems connected with isospectral deformations
• Algebraic integrability for the Schrödinger equation and finite reflection groups
• Commutative rings of partial differential operators and Lie algebras
• Hadamard's problem and Coxeter groups: New examples of Huygens' equations
• An elementary approach to the hypergeometric shift operators of Opdam

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