An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model

DOI10.1088/0305-4470/34/49/315zbMath1098.81789arXivmath-ph/0110038OpenAlexW2035798488MaRDI QIDQ2773136

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Publication date: 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/0110038

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Groups and algebras in quantum theory and relations with integrable systems (81R12) Hypergeometric functions associated with root systems (33C67)

Related Items (9)

Some results on the eigenfunctions of the quantum trigonometric Calogero–Sutherland model related to the Lie algebra D4 ⋮ Generating functions for characters and weight multiplicities of irreducible 𝓈𝓁(4)-modules ⋮ Counting operator analysis of the discrete spectrum of some model Hamiltonians ⋮ Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra \(E _{7}\) ⋮ A note on Franel numbers and \(\mathrm{SU}(3)\) ⋮ \( \mathcal{P}\mathcal{T} \) deformation of Calogero-Sutherland models ⋮ A perturbative approach to the quantum elliptic Calogero-Sutherland model ⋮ Some results on the eigenfunctions of the quantum trigonometric Calogero–Sutherland model related to the Lie algebra E6 ⋮ Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra E7

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