Quantum integrable systems and Clebsch - Gordan series. I

DOI10.1088/0305-4470/31/1/005zbMath0956.81093OpenAlexW3106357993MaRDI QIDQ4950189

A. M. Perelomov

Publication date: 8 May 2000

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

Full work available at URL: https://doi.org/10.1088/0305-4470/31/1/005

zbMATH Keywords

root systemsquantum integrable systemsClebsch-Gordan series\((q,t)\)-deformationproduct of two wavefunctions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie groups to the sciences; explicit representations (22E70) Many-body theory; quantum Hall effect (81V70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (10)

Integrable systems on the lattice and orthogonal polynomials of discrete variable ⋮ 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 ⋮ Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra \(E _{7}\) ⋮ Trigonometric integrable tops from solutions of associative Yang-Baxter equation ⋮ A note on Franel numbers and \(\mathrm{SU}(3)\) ⋮ On factorized Lax pairs for classical many-body integrable 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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