Explicit solution of the quantum three-body Calogero - Sutherland model

DOI10.1088/0305-4470/31/32/002zbMath0964.33006arXivhep-th/9805149OpenAlexW2151544170MaRDI QIDQ4259846

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Publication date: 14 November 1999

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

Full work available at URL: https://arxiv.org/abs/hep-th/9805149

zbMATH Keywords

Jack polynomialsClebsch-Gordan seriesCalogero-Sutherland systems

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Many-body theory; quantum Hall effect (81V70)

Related Items (8)

Some results on the eigenfunctions of the quantum trigonometric Calogero–Sutherland model related to the Lie algebra D4 ⋮ 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 ⋮ Algebraic exact solvability of trigonometric-type Hamiltonians associated to root systems ⋮ 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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